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Finding the Fourth Proportional to 2,562.80, 3,532.94 and 2,207.18

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Solution

The fourth proportional to 2,562.80, 3,532.94 and 2,207.18 is: 3,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.80 : 3,532.94 = 2,207.18 : x
  2. Step 2: Convert to fraction form
    2,562.80/3,532.94 = 2,207.18/x
  3. Step 3: Cross multiply
    2,562.80x = 3,532.94 × 2,207.18
  4. Step 4: Simplify right side
    2,562.80x = 7,797,805.81
  5. Step 5: Solve for x
    x = 7,797,805.81/2,562.80
  6. Step 6: Final answer
    x = 3,042.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.