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Finding the Fourth Proportional to 2,766.42, 4,129.31 and 2,442.02

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Solution

The fourth proportional to 2,766.42, 4,129.31 and 2,442.02 is: 3,645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.42 : 4,129.31 = 2,442.02 : x
  2. Step 2: Convert to fraction form
    2,766.42/4,129.31 = 2,442.02/x
  3. Step 3: Cross multiply
    2,766.42x = 4,129.31 × 2,442.02
  4. Step 4: Simplify right side
    2,766.42x = 10,083,843.06
  5. Step 5: Solve for x
    x = 10,083,843.06/2,766.42
  6. Step 6: Final answer
    x = 3,645.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.