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Finding the Fourth Proportional to 1,650.78, 2,472.90 and 1,240.38

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Solution

The fourth proportional to 1,650.78, 2,472.90 and 1,240.38 is: 1,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.78 : 2,472.90 = 1,240.38 : x
  2. Step 2: Convert to fraction form
    1,650.78/2,472.90 = 1,240.38/x
  3. Step 3: Cross multiply
    1,650.78x = 2,472.90 × 1,240.38
  4. Step 4: Simplify right side
    1,650.78x = 3,067,335.70
  5. Step 5: Solve for x
    x = 3,067,335.70/1,650.78
  6. Step 6: Final answer
    x = 1,858.11

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