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Finding the Fourth Proportional to 2,771.38, 4,159.04 and 1,539.78

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Solution

The fourth proportional to 2,771.38, 4,159.04 and 1,539.78 is: 2,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.38 : 4,159.04 = 1,539.78 : x
  2. Step 2: Convert to fraction form
    2,771.38/4,159.04 = 1,539.78/x
  3. Step 3: Cross multiply
    2,771.38x = 4,159.04 × 1,539.78
  4. Step 4: Simplify right side
    2,771.38x = 6,404,006.61
  5. Step 5: Solve for x
    x = 6,404,006.61/2,771.38
  6. Step 6: Final answer
    x = 2,310.76

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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.