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Finding the Fourth Proportional to 2,442.78, 3,371.76 and 2,001.78

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Solution

The fourth proportional to 2,442.78, 3,371.76 and 2,001.78 is: 2,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.78 : 3,371.76 = 2,001.78 : x
  2. Step 2: Convert to fraction form
    2,442.78/3,371.76 = 2,001.78/x
  3. Step 3: Cross multiply
    2,442.78x = 3,371.76 × 2,001.78
  4. Step 4: Simplify right side
    2,442.78x = 6,749,521.73
  5. Step 5: Solve for x
    x = 6,749,521.73/2,442.78
  6. Step 6: Final answer
    x = 2,763.05

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