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Finding the Fourth Proportional to 2,542.76, 3,816.48 and 1,311.02

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Solution

The fourth proportional to 2,542.76, 3,816.48 and 1,311.02 is: 1,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.76 : 3,816.48 = 1,311.02 : x
  2. Step 2: Convert to fraction form
    2,542.76/3,816.48 = 1,311.02/x
  3. Step 3: Cross multiply
    2,542.76x = 3,816.48 × 1,311.02
  4. Step 4: Simplify right side
    2,542.76x = 5,003,481.61
  5. Step 5: Solve for x
    x = 5,003,481.61/2,542.76
  6. Step 6: Final answer
    x = 1,967.74

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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.