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Finding the Fourth Proportional to 2,854.38, 4,254.52 and 2,643.96

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Solution

The fourth proportional to 2,854.38, 4,254.52 and 2,643.96 is: 3,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.38 : 4,254.52 = 2,643.96 : x
  2. Step 2: Convert to fraction form
    2,854.38/4,254.52 = 2,643.96/x
  3. Step 3: Cross multiply
    2,854.38x = 4,254.52 × 2,643.96
  4. Step 4: Simplify right side
    2,854.38x = 11,248,780.70
  5. Step 5: Solve for x
    x = 11,248,780.70/2,854.38
  6. Step 6: Final answer
    x = 3,940.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.