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Finding the Fourth Proportional to 2,654.78, 3,982.17 and 1,012.70

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Solution

The fourth proportional to 2,654.78, 3,982.17 and 1,012.70 is: 1,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.78 : 3,982.17 = 1,012.70 : x
  2. Step 2: Convert to fraction form
    2,654.78/3,982.17 = 1,012.70/x
  3. Step 3: Cross multiply
    2,654.78x = 3,982.17 × 1,012.70
  4. Step 4: Simplify right side
    2,654.78x = 4,032,743.56
  5. Step 5: Solve for x
    x = 4,032,743.56/2,654.78
  6. Step 6: Final answer
    x = 1,519.05

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Similar ratio
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1.5x scale

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.