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Finding the Fourth Proportional to 2,868.16, 3,958.22 and 2,158.73

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Solution

The fourth proportional to 2,868.16, 3,958.22 and 2,158.73 is: 2,979.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.16 : 3,958.22 = 2,158.73 : x
  2. Step 2: Convert to fraction form
    2,868.16/3,958.22 = 2,158.73/x
  3. Step 3: Cross multiply
    2,868.16x = 3,958.22 × 2,158.73
  4. Step 4: Simplify right side
    2,868.16x = 8,544,728.26
  5. Step 5: Solve for x
    x = 8,544,728.26/2,868.16
  6. Step 6: Final answer
    x = 2,979.17

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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.