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Finding the Fourth Proportional to 2,737.40, 4,107.92 and 2,256.26

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Solution

The fourth proportional to 2,737.40, 4,107.92 and 2,256.26 is: 3,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.40 : 4,107.92 = 2,256.26 : x
  2. Step 2: Convert to fraction form
    2,737.40/4,107.92 = 2,256.26/x
  3. Step 3: Cross multiply
    2,737.40x = 4,107.92 × 2,256.26
  4. Step 4: Simplify right side
    2,737.40x = 9,268,503.76
  5. Step 5: Solve for x
    x = 9,268,503.76/2,737.40
  6. Step 6: Final answer
    x = 3,385.88

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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.