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Finding the Fourth Proportional to 1,982.88, 2,972.16 and 1,008.72

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Solution

The fourth proportional to 1,982.88, 2,972.16 and 1,008.72 is: 1,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.88 : 2,972.16 = 1,008.72 : x
  2. Step 2: Convert to fraction form
    1,982.88/2,972.16 = 1,008.72/x
  3. Step 3: Cross multiply
    1,982.88x = 2,972.16 × 1,008.72
  4. Step 4: Simplify right side
    1,982.88x = 2,998,077.24
  5. Step 5: Solve for x
    x = 2,998,077.24/1,982.88
  6. Step 6: Final answer
    x = 1,511.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.