Home / 1,631.38-2,447.52-477.13

Finding the Fourth Proportional to 1,631.38, 2,447.52 and 477.13

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Solution

The fourth proportional to 1,631.38, 2,447.52 and 477.13 is: 715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.38 : 2,447.52 = 477.13 : x
  2. Step 2: Convert to fraction form
    1,631.38/2,447.52 = 477.13/x
  3. Step 3: Cross multiply
    1,631.38x = 2,447.52 × 477.13
  4. Step 4: Simplify right side
    1,631.38x = 1,167,770.59
  5. Step 5: Solve for x
    x = 1,167,770.59/1,631.38
  6. Step 6: Final answer
    x = 715.82

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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.