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Finding the Fourth Proportional to 3,112.68, 4,295.82 and 1,854.12

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Solution

The fourth proportional to 3,112.68, 4,295.82 and 1,854.12 is: 2,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.68 : 4,295.82 = 1,854.12 : x
  2. Step 2: Convert to fraction form
    3,112.68/4,295.82 = 1,854.12/x
  3. Step 3: Cross multiply
    3,112.68x = 4,295.82 × 1,854.12
  4. Step 4: Simplify right side
    3,112.68x = 7,964,965.78
  5. Step 5: Solve for x
    x = 7,964,965.78/3,112.68
  6. Step 6: Final answer
    x = 2,558.88

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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.