Home / 1,743.08-2,613.96-702.74

Finding the Fourth Proportional to 1,743.08, 2,613.96 and 702.74

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Solution

The fourth proportional to 1,743.08, 2,613.96 and 702.74 is: 1,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.08 : 2,613.96 = 702.74 : x
  2. Step 2: Convert to fraction form
    1,743.08/2,613.96 = 702.74/x
  3. Step 3: Cross multiply
    1,743.08x = 2,613.96 × 702.74
  4. Step 4: Simplify right side
    1,743.08x = 1,836,921.18
  5. Step 5: Solve for x
    x = 1,836,921.18/1,743.08
  6. Step 6: Final answer
    x = 1,053.84

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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.