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Finding the Fourth Proportional to 2,374.92, 3,560.09 and 2,171.95

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Solution

The fourth proportional to 2,374.92, 3,560.09 and 2,171.95 is: 3,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.92 : 3,560.09 = 2,171.95 : x
  2. Step 2: Convert to fraction form
    2,374.92/3,560.09 = 2,171.95/x
  3. Step 3: Cross multiply
    2,374.92x = 3,560.09 × 2,171.95
  4. Step 4: Simplify right side
    2,374.92x = 7,732,317.72
  5. Step 5: Solve for x
    x = 7,732,317.72/2,374.92
  6. Step 6: Final answer
    x = 3,255.82

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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.