Home / 1,631.43-2,447.52-707.14

Finding the Fourth Proportional to 1,631.43, 2,447.52 and 707.14

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Solution

The fourth proportional to 1,631.43, 2,447.52 and 707.14 is: 1,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.43 : 2,447.52 = 707.14 : x
  2. Step 2: Convert to fraction form
    1,631.43/2,447.52 = 707.14/x
  3. Step 3: Cross multiply
    1,631.43x = 2,447.52 × 707.14
  4. Step 4: Simplify right side
    1,631.43x = 1,730,739.29
  5. Step 5: Solve for x
    x = 1,730,739.29/1,631.43
  6. Step 6: Final answer
    x = 1,060.87

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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.