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Finding the Fourth Proportional to 2,902.77, 4,350.92 and 1,256.85

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Solution

The fourth proportional to 2,902.77, 4,350.92 and 1,256.85 is: 1,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.77 : 4,350.92 = 1,256.85 : x
  2. Step 2: Convert to fraction form
    2,902.77/4,350.92 = 1,256.85/x
  3. Step 3: Cross multiply
    2,902.77x = 4,350.92 × 1,256.85
  4. Step 4: Simplify right side
    2,902.77x = 5,468,447.52
  5. Step 5: Solve for x
    x = 5,468,447.52/2,902.77
  6. Step 6: Final answer
    x = 1,883.87

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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.