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Finding the Fourth Proportional to 1,762.31, 2,432.21 and 1,016.28

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Solution

The fourth proportional to 1,762.31, 2,432.21 and 1,016.28 is: 1,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.31 : 2,432.21 = 1,016.28 : x
  2. Step 2: Convert to fraction form
    1,762.31/2,432.21 = 1,016.28/x
  3. Step 3: Cross multiply
    1,762.31x = 2,432.21 × 1,016.28
  4. Step 4: Simplify right side
    1,762.31x = 2,471,801.30
  5. Step 5: Solve for x
    x = 2,471,801.30/1,762.31
  6. Step 6: Final answer
    x = 1,402.59

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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.