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Finding the Fourth Proportional to 2,654.52, 3,974.27 and 2,029.10

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Solution

The fourth proportional to 2,654.52, 3,974.27 and 2,029.10 is: 3,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.52 : 3,974.27 = 2,029.10 : x
  2. Step 2: Convert to fraction form
    2,654.52/3,974.27 = 2,029.10/x
  3. Step 3: Cross multiply
    2,654.52x = 3,974.27 × 2,029.10
  4. Step 4: Simplify right side
    2,654.52x = 8,064,161.24
  5. Step 5: Solve for x
    x = 8,064,161.24/2,654.52
  6. Step 6: Final answer
    x = 3,037.90

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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.