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Finding the Fourth Proportional to 2,443.31, 3,665.21 and 688.31

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Solution

The fourth proportional to 2,443.31, 3,665.21 and 688.31 is: 1,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.31 : 3,665.21 = 688.31 : x
  2. Step 2: Convert to fraction form
    2,443.31/3,665.21 = 688.31/x
  3. Step 3: Cross multiply
    2,443.31x = 3,665.21 × 688.31
  4. Step 4: Simplify right side
    2,443.31x = 2,522,797.25
  5. Step 5: Solve for x
    x = 2,522,797.25/2,443.31
  6. Step 6: Final answer
    x = 1,032.53

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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.