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Finding the Fourth Proportional to 1,588.92, 2,193.08 and 926.16

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Solution

The fourth proportional to 1,588.92, 2,193.08 and 926.16 is: 1,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.92 : 2,193.08 = 926.16 : x
  2. Step 2: Convert to fraction form
    1,588.92/2,193.08 = 926.16/x
  3. Step 3: Cross multiply
    1,588.92x = 2,193.08 × 926.16
  4. Step 4: Simplify right side
    1,588.92x = 2,031,142.97
  5. Step 5: Solve for x
    x = 2,031,142.97/1,588.92
  6. Step 6: Final answer
    x = 1,278.32

Related Problems

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Half scale
Find fourth proportional to 3,177.84, 4,386.16 and 1,852.32
Double scale
Find fourth proportional to 1,589.92, 2,194.46 and 927.16
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.