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Finding the Fourth Proportional to 2,118.16, 3,177.84 and 886.16

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Solution

The fourth proportional to 2,118.16, 3,177.84 and 886.16 is: 1,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.16 : 3,177.84 = 886.16 : x
  2. Step 2: Convert to fraction form
    2,118.16/3,177.84 = 886.16/x
  3. Step 3: Cross multiply
    2,118.16x = 3,177.84 × 886.16
  4. Step 4: Simplify right side
    2,118.16x = 2,816,074.69
  5. Step 5: Solve for x
    x = 2,816,074.69/2,118.16
  6. Step 6: Final answer
    x = 1,329.49

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Double scale
Find fourth proportional to 2,119.16, 3,179.34 and 887.16
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.