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Finding the Fourth Proportional to 2,562.16, 3,842.81 and 713.46

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Solution

The fourth proportional to 2,562.16, 3,842.81 and 713.46 is: 1,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.16 : 3,842.81 = 713.46 : x
  2. Step 2: Convert to fraction form
    2,562.16/3,842.81 = 713.46/x
  3. Step 3: Cross multiply
    2,562.16x = 3,842.81 × 713.46
  4. Step 4: Simplify right side
    2,562.16x = 2,741,687.66
  5. Step 5: Solve for x
    x = 2,741,687.66/2,562.16
  6. Step 6: Final answer
    x = 1,070.07

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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.