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Finding the Fourth Proportional to 3,123.78, 4,682.73 and 1,642.68

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Solution

The fourth proportional to 3,123.78, 4,682.73 and 1,642.68 is: 2,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.78 : 4,682.73 = 1,642.68 : x
  2. Step 2: Convert to fraction form
    3,123.78/4,682.73 = 1,642.68/x
  3. Step 3: Cross multiply
    3,123.78x = 4,682.73 × 1,642.68
  4. Step 4: Simplify right side
    3,123.78x = 7,692,226.92
  5. Step 5: Solve for x
    x = 7,692,226.92/3,123.78
  6. Step 6: Final answer
    x = 2,462.47

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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.