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Finding the Fourth Proportional to 1,981.72, 2,972.88 and 682.88

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Solution

The fourth proportional to 1,981.72, 2,972.88 and 682.88 is: 1,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.72 : 2,972.88 = 682.88 : x
  2. Step 2: Convert to fraction form
    1,981.72/2,972.88 = 682.88/x
  3. Step 3: Cross multiply
    1,981.72x = 2,972.88 × 682.88
  4. Step 4: Simplify right side
    1,981.72x = 2,030,120.29
  5. Step 5: Solve for x
    x = 2,030,120.29/1,981.72
  6. Step 6: Final answer
    x = 1,024.42

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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.