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Finding the Fourth Proportional to 4,081.78, 6,123 and 1,308.82

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Solution

The fourth proportional to 4,081.78, 6,123 and 1,308.82 is: 1,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081.78 : 6,123 = 1,308.82 : x
  2. Step 2: Convert to fraction form
    4,081.78/6,123 = 1,308.82/x
  3. Step 3: Cross multiply
    4,081.78x = 6,123 × 1,308.82
  4. Step 4: Simplify right side
    4,081.78x = 8,013,904.86
  5. Step 5: Solve for x
    x = 8,013,904.86/4,081.78
  6. Step 6: Final answer
    x = 1,963.34

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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.