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Finding the Fourth Proportional to 2,487.85, 3,432.74 and 1,425.42

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Solution

The fourth proportional to 2,487.85, 3,432.74 and 1,425.42 is: 1,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.85 : 3,432.74 = 1,425.42 : x
  2. Step 2: Convert to fraction form
    2,487.85/3,432.74 = 1,425.42/x
  3. Step 3: Cross multiply
    2,487.85x = 3,432.74 × 1,425.42
  4. Step 4: Simplify right side
    2,487.85x = 4,893,089.12
  5. Step 5: Solve for x
    x = 4,893,089.12/2,487.85
  6. Step 6: Final answer
    x = 1,966.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.