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Finding the Fourth Proportional to 1,982.64, 2,737.20 and 1,274.88

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Solution

The fourth proportional to 1,982.64, 2,737.20 and 1,274.88 is: 1,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.64 : 2,737.20 = 1,274.88 : x
  2. Step 2: Convert to fraction form
    1,982.64/2,737.20 = 1,274.88/x
  3. Step 3: Cross multiply
    1,982.64x = 2,737.20 × 1,274.88
  4. Step 4: Simplify right side
    1,982.64x = 3,489,601.54
  5. Step 5: Solve for x
    x = 3,489,601.54/1,982.64
  6. Step 6: Final answer
    x = 1,760.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.