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Finding the Fourth Proportional to 3,121.87, 4,686.90 and 2,432.95

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Solution

The fourth proportional to 3,121.87, 4,686.90 and 2,432.95 is: 3,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.87 : 4,686.90 = 2,432.95 : x
  2. Step 2: Convert to fraction form
    3,121.87/4,686.90 = 2,432.95/x
  3. Step 3: Cross multiply
    3,121.87x = 4,686.90 × 2,432.95
  4. Step 4: Simplify right side
    3,121.87x = 11,402,957.76
  5. Step 5: Solve for x
    x = 11,402,957.76/3,121.87
  6. Step 6: Final answer
    x = 3,652.61

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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.