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Finding the Fourth Proportional to 2,006.47, 3,008.64 and 1,082.46

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Solution

The fourth proportional to 2,006.47, 3,008.64 and 1,082.46 is: 1,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.47 : 3,008.64 = 1,082.46 : x
  2. Step 2: Convert to fraction form
    2,006.47/3,008.64 = 1,082.46/x
  3. Step 3: Cross multiply
    2,006.47x = 3,008.64 × 1,082.46
  4. Step 4: Simplify right side
    2,006.47x = 3,256,747.80
  5. Step 5: Solve for x
    x = 3,256,747.80/2,006.47
  6. Step 6: Final answer
    x = 1,623.12

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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.