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Finding the Fourth Proportional to 3,129.29, 4,695.33 and 1,648.16

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Solution

The fourth proportional to 3,129.29, 4,695.33 and 1,648.16 is: 2,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.29 : 4,695.33 = 1,648.16 : x
  2. Step 2: Convert to fraction form
    3,129.29/4,695.33 = 1,648.16/x
  3. Step 3: Cross multiply
    3,129.29x = 4,695.33 × 1,648.16
  4. Step 4: Simplify right side
    3,129.29x = 7,738,642.20
  5. Step 5: Solve for x
    x = 7,738,642.20/3,129.29
  6. Step 6: Final answer
    x = 2,472.97

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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.