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Finding the Fourth Proportional to 2,123.91, 2,930.83 and 1,327.59

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Solution

The fourth proportional to 2,123.91, 2,930.83 and 1,327.59 is: 1,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.91 : 2,930.83 = 1,327.59 : x
  2. Step 2: Convert to fraction form
    2,123.91/2,930.83 = 1,327.59/x
  3. Step 3: Cross multiply
    2,123.91x = 2,930.83 × 1,327.59
  4. Step 4: Simplify right side
    2,123.91x = 3,890,937.28
  5. Step 5: Solve for x
    x = 3,890,937.28/2,123.91
  6. Step 6: Final answer
    x = 1,831.97

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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.