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Finding the Fourth Proportional to 2,867.98, 3,957.97 and 2,158.54

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Solution

The fourth proportional to 2,867.98, 3,957.97 and 2,158.54 is: 2,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.98 : 3,957.97 = 2,158.54 : x
  2. Step 2: Convert to fraction form
    2,867.98/3,957.97 = 2,158.54/x
  3. Step 3: Cross multiply
    2,867.98x = 3,957.97 × 2,158.54
  4. Step 4: Simplify right side
    2,867.98x = 8,543,425.77
  5. Step 5: Solve for x
    x = 8,543,425.77/2,867.98
  6. Step 6: Final answer
    x = 2,978.91

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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.