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Finding the Fourth Proportional to 2,542.92, 3,507.81 and 1,787.85

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Solution

The fourth proportional to 2,542.92, 3,507.81 and 1,787.85 is: 2,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.92 : 3,507.81 = 1,787.85 : x
  2. Step 2: Convert to fraction form
    2,542.92/3,507.81 = 1,787.85/x
  3. Step 3: Cross multiply
    2,542.92x = 3,507.81 × 1,787.85
  4. Step 4: Simplify right side
    2,542.92x = 6,271,438.11
  5. Step 5: Solve for x
    x = 6,271,438.11/2,542.92
  6. Step 6: Final answer
    x = 2,466.23

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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.