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Finding the Fourth Proportional to 2,251.06, 3,377.50 and 865.15

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Solution

The fourth proportional to 2,251.06, 3,377.50 and 865.15 is: 1,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.06 : 3,377.50 = 865.15 : x
  2. Step 2: Convert to fraction form
    2,251.06/3,377.50 = 865.15/x
  3. Step 3: Cross multiply
    2,251.06x = 3,377.50 × 865.15
  4. Step 4: Simplify right side
    2,251.06x = 2,922,033.52
  5. Step 5: Solve for x
    x = 2,922,033.52/2,251.06
  6. Step 6: Final answer
    x = 1,298.07

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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.