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Finding the Fourth Proportional to 2,511.61, 3,764.41 and 867.24

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Solution

The fourth proportional to 2,511.61, 3,764.41 and 867.24 is: 1,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.61 : 3,764.41 = 867.24 : x
  2. Step 2: Convert to fraction form
    2,511.61/3,764.41 = 867.24/x
  3. Step 3: Cross multiply
    2,511.61x = 3,764.41 × 867.24
  4. Step 4: Simplify right side
    2,511.61x = 3,264,644.76
  5. Step 5: Solve for x
    x = 3,264,644.76/2,511.61
  6. Step 6: Final answer
    x = 1,299.82

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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.