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Finding the Fourth Proportional to 2,562.41, 3,843.61 and 713.53

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Solution

The fourth proportional to 2,562.41, 3,843.61 and 713.53 is: 1,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.41 : 3,843.61 = 713.53 : x
  2. Step 2: Convert to fraction form
    2,562.41/3,843.61 = 713.53/x
  3. Step 3: Cross multiply
    2,562.41x = 3,843.61 × 713.53
  4. Step 4: Simplify right side
    2,562.41x = 2,742,519.65
  5. Step 5: Solve for x
    x = 2,742,519.65/2,562.41
  6. Step 6: Final answer
    x = 1,070.29

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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.