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Finding the Fourth Proportional to 2,877.86, 3,969.89 and 2,377.54

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Solution

The fourth proportional to 2,877.86, 3,969.89 and 2,377.54 is: 3,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.86 : 3,969.89 = 2,377.54 : x
  2. Step 2: Convert to fraction form
    2,877.86/3,969.89 = 2,377.54/x
  3. Step 3: Cross multiply
    2,877.86x = 3,969.89 × 2,377.54
  4. Step 4: Simplify right side
    2,877.86x = 9,438,572.27
  5. Step 5: Solve for x
    x = 9,438,572.27/2,877.86
  6. Step 6: Final answer
    x = 3,279.72

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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.