Home / 1,742.17-2,613.41-702.13

Finding the Fourth Proportional to 1,742.17, 2,613.41 and 702.13

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Solution

The fourth proportional to 1,742.17, 2,613.41 and 702.13 is: 1,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.17 : 2,613.41 = 702.13 : x
  2. Step 2: Convert to fraction form
    1,742.17/2,613.41 = 702.13/x
  3. Step 3: Cross multiply
    1,742.17x = 2,613.41 × 702.13
  4. Step 4: Simplify right side
    1,742.17x = 1,834,948.79
  5. Step 5: Solve for x
    x = 1,834,948.79/1,742.17
  6. Step 6: Final answer
    x = 1,053.26

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