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Finding the Fourth Proportional to 2,551.57, 3,521.11 and 1,432.50

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Solution

The fourth proportional to 2,551.57, 3,521.11 and 1,432.50 is: 1,976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.57 : 3,521.11 = 1,432.50 : x
  2. Step 2: Convert to fraction form
    2,551.57/3,521.11 = 1,432.50/x
  3. Step 3: Cross multiply
    2,551.57x = 3,521.11 × 1,432.50
  4. Step 4: Simplify right side
    2,551.57x = 5,043,990.08
  5. Step 5: Solve for x
    x = 5,043,990.08/2,551.57
  6. Step 6: Final answer
    x = 1,976.82

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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.