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Finding the Fourth Proportional to 2,560.47, 3,842.99 and 1,311.92

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Solution

The fourth proportional to 2,560.47, 3,842.99 and 1,311.92 is: 1,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.47 : 3,842.99 = 1,311.92 : x
  2. Step 2: Convert to fraction form
    2,560.47/3,842.99 = 1,311.92/x
  3. Step 3: Cross multiply
    2,560.47x = 3,842.99 × 1,311.92
  4. Step 4: Simplify right side
    2,560.47x = 5,041,681.97
  5. Step 5: Solve for x
    x = 5,041,681.97/2,560.47
  6. Step 6: Final answer
    x = 1,969.05

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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.