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Finding the Fourth Proportional to 2,815.43, 4,223.43 and 867.78

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Solution

The fourth proportional to 2,815.43, 4,223.43 and 867.78 is: 1,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.43 : 4,223.43 = 867.78 : x
  2. Step 2: Convert to fraction form
    2,815.43/4,223.43 = 867.78/x
  3. Step 3: Cross multiply
    2,815.43x = 4,223.43 × 867.78
  4. Step 4: Simplify right side
    2,815.43x = 3,665,008.09
  5. Step 5: Solve for x
    x = 3,665,008.09/2,815.43
  6. Step 6: Final answer
    x = 1,301.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.