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Finding the Fourth Proportional to 2,815.89, 4,223.57 and 867.57

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Solution

The fourth proportional to 2,815.89, 4,223.57 and 867.57 is: 1,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.89 : 4,223.57 = 867.57 : x
  2. Step 2: Convert to fraction form
    2,815.89/4,223.57 = 867.57/x
  3. Step 3: Cross multiply
    2,815.89x = 4,223.57 × 867.57
  4. Step 4: Simplify right side
    2,815.89x = 3,664,252.10
  5. Step 5: Solve for x
    x = 3,664,252.10/2,815.89
  6. Step 6: Final answer
    x = 1,301.28

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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.