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Finding the Fourth Proportional to 2,737.29, 4,105.46 and 888.14

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Solution

The fourth proportional to 2,737.29, 4,105.46 and 888.14 is: 1,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.29 : 4,105.46 = 888.14 : x
  2. Step 2: Convert to fraction form
    2,737.29/4,105.46 = 888.14/x
  3. Step 3: Cross multiply
    2,737.29x = 4,105.46 × 888.14
  4. Step 4: Simplify right side
    2,737.29x = 3,646,198.28
  5. Step 5: Solve for x
    x = 3,646,198.28/2,737.29
  6. Step 6: Final answer
    x = 1,332.05

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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.