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Finding the Fourth Proportional to 2,562.59, 3,843.47 and 713.90

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Solution

The fourth proportional to 2,562.59, 3,843.47 and 713.90 is: 1,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.59 : 3,843.47 = 713.90 : x
  2. Step 2: Convert to fraction form
    2,562.59/3,843.47 = 713.90/x
  3. Step 3: Cross multiply
    2,562.59x = 3,843.47 × 713.90
  4. Step 4: Simplify right side
    2,562.59x = 2,743,830.45
  5. Step 5: Solve for x
    x = 2,743,830.45/2,562.59
  6. Step 6: Final answer
    x = 1,070.72

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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.