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Finding the Fourth Proportional to 2,876.86, 4,318.96 and 2,446.76

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Solution

The fourth proportional to 2,876.86, 4,318.96 and 2,446.76 is: 3,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.86 : 4,318.96 = 2,446.76 : x
  2. Step 2: Convert to fraction form
    2,876.86/4,318.96 = 2,446.76/x
  3. Step 3: Cross multiply
    2,876.86x = 4,318.96 × 2,446.76
  4. Step 4: Simplify right side
    2,876.86x = 10,567,458.57
  5. Step 5: Solve for x
    x = 10,567,458.57/2,876.86
  6. Step 6: Final answer
    x = 3,673.26

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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.