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Finding the Fourth Proportional to 2,562.85, 3,844.15 and 713.82

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Solution

The fourth proportional to 2,562.85, 3,844.15 and 713.82 is: 1,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.85 : 3,844.15 = 713.82 : x
  2. Step 2: Convert to fraction form
    2,562.85/3,844.15 = 713.82/x
  3. Step 3: Cross multiply
    2,562.85x = 3,844.15 × 713.82
  4. Step 4: Simplify right side
    2,562.85x = 2,744,031.15
  5. Step 5: Solve for x
    x = 2,744,031.15/2,562.85
  6. Step 6: Final answer
    x = 1,070.70

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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.