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Finding the Fourth Proportional to 2,562.30, 3,532.24 and 2,206.68

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Solution

The fourth proportional to 2,562.30, 3,532.24 and 2,206.68 is: 3,042.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.30 : 3,532.24 = 2,206.68 : x
  2. Step 2: Convert to fraction form
    2,562.30/3,532.24 = 2,206.68/x
  3. Step 3: Cross multiply
    2,562.30x = 3,532.24 × 2,206.68
  4. Step 4: Simplify right side
    2,562.30x = 7,794,523.36
  5. Step 5: Solve for x
    x = 7,794,523.36/2,562.30
  6. Step 6: Final answer
    x = 3,042.00

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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.