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Finding the Fourth Proportional to 2,982.20, 4,472.04 and 1,132.40

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Solution

The fourth proportional to 2,982.20, 4,472.04 and 1,132.40 is: 1,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.20 : 4,472.04 = 1,132.40 : x
  2. Step 2: Convert to fraction form
    2,982.20/4,472.04 = 1,132.40/x
  3. Step 3: Cross multiply
    2,982.20x = 4,472.04 × 1,132.40
  4. Step 4: Simplify right side
    2,982.20x = 5,064,138.10
  5. Step 5: Solve for x
    x = 5,064,138.10/2,982.20
  6. Step 6: Final answer
    x = 1,698.12

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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.