Home / 1,742.08-2,612.10-702.04

Finding the Fourth Proportional to 1,742.08, 2,612.10 and 702.04

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Solution

The fourth proportional to 1,742.08, 2,612.10 and 702.04 is: 1,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.08 : 2,612.10 = 702.04 : x
  2. Step 2: Convert to fraction form
    1,742.08/2,612.10 = 702.04/x
  3. Step 3: Cross multiply
    1,742.08x = 2,612.10 × 702.04
  4. Step 4: Simplify right side
    1,742.08x = 1,833,798.68
  5. Step 5: Solve for x
    x = 1,833,798.68/1,742.08
  6. Step 6: Final answer
    x = 1,052.65

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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.