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Finding the Fourth Proportional to 2,815.62, 4,223.47 and 867.81

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Solution

The fourth proportional to 2,815.62, 4,223.47 and 867.81 is: 1,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.62 : 4,223.47 = 867.81 : x
  2. Step 2: Convert to fraction form
    2,815.62/4,223.47 = 867.81/x
  3. Step 3: Cross multiply
    2,815.62x = 4,223.47 × 867.81
  4. Step 4: Simplify right side
    2,815.62x = 3,665,169.50
  5. Step 5: Solve for x
    x = 3,665,169.50/2,815.62
  6. Step 6: Final answer
    x = 1,301.73

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Why These Related Problems?

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