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Finding the Fourth Proportional to 2,982.74, 4,473 and 1,132.92

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Solution

The fourth proportional to 2,982.74, 4,473 and 1,132.92 is: 1,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.74 : 4,473 = 1,132.92 : x
  2. Step 2: Convert to fraction form
    2,982.74/4,473 = 1,132.92/x
  3. Step 3: Cross multiply
    2,982.74x = 4,473 × 1,132.92
  4. Step 4: Simplify right side
    2,982.74x = 5,067,551.16
  5. Step 5: Solve for x
    x = 5,067,551.16/2,982.74
  6. Step 6: Final answer
    x = 1,698.96

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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.