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Finding the Fourth Proportional to 2,982.38, 4,473.88 and 1,008.24

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Solution

The fourth proportional to 2,982.38, 4,473.88 and 1,008.24 is: 1,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.38 : 4,473.88 = 1,008.24 : x
  2. Step 2: Convert to fraction form
    2,982.38/4,473.88 = 1,008.24/x
  3. Step 3: Cross multiply
    2,982.38x = 4,473.88 × 1,008.24
  4. Step 4: Simplify right side
    2,982.38x = 4,510,756.31
  5. Step 5: Solve for x
    x = 4,510,756.31/2,982.38
  6. Step 6: Final answer
    x = 1,512.47

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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.