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Finding the Fourth Proportional to 2,487.69, 3,731.27 and 638.82

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Solution

The fourth proportional to 2,487.69, 3,731.27 and 638.82 is: 958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.69 : 3,731.27 = 638.82 : x
  2. Step 2: Convert to fraction form
    2,487.69/3,731.27 = 638.82/x
  3. Step 3: Cross multiply
    2,487.69x = 3,731.27 × 638.82
  4. Step 4: Simplify right side
    2,487.69x = 2,383,606.71
  5. Step 5: Solve for x
    x = 2,383,606.71/2,487.69
  6. Step 6: Final answer
    x = 958.16

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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.