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Finding the Fourth Proportional to 2,864.08, 3,951.24 and 1,930.96

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Solution

The fourth proportional to 2,864.08, 3,951.24 and 1,930.96 is: 2,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.08 : 3,951.24 = 1,930.96 : x
  2. Step 2: Convert to fraction form
    2,864.08/3,951.24 = 1,930.96/x
  3. Step 3: Cross multiply
    2,864.08x = 3,951.24 × 1,930.96
  4. Step 4: Simplify right side
    2,864.08x = 7,629,686.39
  5. Step 5: Solve for x
    x = 7,629,686.39/2,864.08
  6. Step 6: Final answer
    x = 2,663.92

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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.