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Finding the Fourth Proportional to 2,532.31, 3,798.29 and 1,217.00

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Solution

The fourth proportional to 2,532.31, 3,798.29 and 1,217.00 is: 1,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.31 : 3,798.29 = 1,217.00 : x
  2. Step 2: Convert to fraction form
    2,532.31/3,798.29 = 1,217.00/x
  3. Step 3: Cross multiply
    2,532.31x = 3,798.29 × 1,217.00
  4. Step 4: Simplify right side
    2,532.31x = 4,622,531.47
  5. Step 5: Solve for x
    x = 4,622,531.47/2,532.31
  6. Step 6: Final answer
    x = 1,825.42

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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.