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Finding the Fourth Proportional to 2,839.32, 4,259 and 865.27

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Solution

The fourth proportional to 2,839.32, 4,259 and 865.27 is: 1,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.32 : 4,259 = 865.27 : x
  2. Step 2: Convert to fraction form
    2,839.32/4,259 = 865.27/x
  3. Step 3: Cross multiply
    2,839.32x = 4,259 × 865.27
  4. Step 4: Simplify right side
    2,839.32x = 3,685,184.93
  5. Step 5: Solve for x
    x = 3,685,184.93/2,839.32
  6. Step 6: Final answer
    x = 1,297.91

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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.