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Finding the Fourth Proportional to 2,195.83, 3,293.77 and 734.99

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Solution

The fourth proportional to 2,195.83, 3,293.77 and 734.99 is: 1,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.83 : 3,293.77 = 734.99 : x
  2. Step 2: Convert to fraction form
    2,195.83/3,293.77 = 734.99/x
  3. Step 3: Cross multiply
    2,195.83x = 3,293.77 × 734.99
  4. Step 4: Simplify right side
    2,195.83x = 2,420,871.54
  5. Step 5: Solve for x
    x = 2,420,871.54/2,195.83
  6. Step 6: Final answer
    x = 1,102.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,196.83, 3,295.27 and 735.99
Similar ratio
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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.