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Finding the Fourth Proportional to 2,562.83, 3,844.18 and 713.87

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Solution

The fourth proportional to 2,562.83, 3,844.18 and 713.87 is: 1,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.83 : 3,844.18 = 713.87 : x
  2. Step 2: Convert to fraction form
    2,562.83/3,844.18 = 713.87/x
  3. Step 3: Cross multiply
    2,562.83x = 3,844.18 × 713.87
  4. Step 4: Simplify right side
    2,562.83x = 2,744,231.60
  5. Step 5: Solve for x
    x = 2,744,231.60/2,562.83
  6. Step 6: Final answer
    x = 1,070.78

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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.