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Finding the Fourth Proportional to 3,251.28, 4,486.92 and 1,854

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Solution

The fourth proportional to 3,251.28, 4,486.92 and 1,854 is: 2,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.28 : 4,486.92 = 1,854 : x
  2. Step 2: Convert to fraction form
    3,251.28/4,486.92 = 1,854/x
  3. Step 3: Cross multiply
    3,251.28x = 4,486.92 × 1,854
  4. Step 4: Simplify right side
    3,251.28x = 8,318,749.68
  5. Step 5: Solve for x
    x = 8,318,749.68/3,251.28
  6. Step 6: Final answer
    x = 2,558.61

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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.