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Finding the Fourth Proportional to 2,982.68, 4,471.22 and 1,006.92

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Solution

The fourth proportional to 2,982.68, 4,471.22 and 1,006.92 is: 1,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.68 : 4,471.22 = 1,006.92 : x
  2. Step 2: Convert to fraction form
    2,982.68/4,471.22 = 1,006.92/x
  3. Step 3: Cross multiply
    2,982.68x = 4,471.22 × 1,006.92
  4. Step 4: Simplify right side
    2,982.68x = 4,502,160.84
  5. Step 5: Solve for x
    x = 4,502,160.84/2,982.68
  6. Step 6: Final answer
    x = 1,509.43

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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.