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Finding the Fourth Proportional to 2,682.78, 4,023.09 and 1,642.38

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Solution

The fourth proportional to 2,682.78, 4,023.09 and 1,642.38 is: 2,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.78 : 4,023.09 = 1,642.38 : x
  2. Step 2: Convert to fraction form
    2,682.78/4,023.09 = 1,642.38/x
  3. Step 3: Cross multiply
    2,682.78x = 4,023.09 × 1,642.38
  4. Step 4: Simplify right side
    2,682.78x = 6,607,442.55
  5. Step 5: Solve for x
    x = 6,607,442.55/2,682.78
  6. Step 6: Final answer
    x = 2,462.91

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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.