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Finding the Fourth Proportional to 3,029.66, 4,545.31 and 1,082.02

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Solution

The fourth proportional to 3,029.66, 4,545.31 and 1,082.02 is: 1,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.66 : 4,545.31 = 1,082.02 : x
  2. Step 2: Convert to fraction form
    3,029.66/4,545.31 = 1,082.02/x
  3. Step 3: Cross multiply
    3,029.66x = 4,545.31 × 1,082.02
  4. Step 4: Simplify right side
    3,029.66x = 4,918,116.33
  5. Step 5: Solve for x
    x = 4,918,116.33/3,029.66
  6. Step 6: Final answer
    x = 1,623.32

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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.