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Finding the Fourth Proportional to 2,737.86, 3,778.92 and 2,295.06

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Solution

The fourth proportional to 2,737.86, 3,778.92 and 2,295.06 is: 3,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.86 : 3,778.92 = 2,295.06 : x
  2. Step 2: Convert to fraction form
    2,737.86/3,778.92 = 2,295.06/x
  3. Step 3: Cross multiply
    2,737.86x = 3,778.92 × 2,295.06
  4. Step 4: Simplify right side
    2,737.86x = 8,672,848.14
  5. Step 5: Solve for x
    x = 8,672,848.14/2,737.86
  6. Step 6: Final answer
    x = 3,167.75

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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.