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Finding the Fourth Proportional to 2,737.64, 3,778.18 and 2,238.89

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Solution

The fourth proportional to 2,737.64, 3,778.18 and 2,238.89 is: 3,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.64 : 3,778.18 = 2,238.89 : x
  2. Step 2: Convert to fraction form
    2,737.64/3,778.18 = 2,238.89/x
  3. Step 3: Cross multiply
    2,737.64x = 3,778.18 × 2,238.89
  4. Step 4: Simplify right side
    2,737.64x = 8,458,904.93
  5. Step 5: Solve for x
    x = 8,458,904.93/2,737.64
  6. Step 6: Final answer
    x = 3,089.85

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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.