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Finding the Fourth Proportional to 2,515.76, 3,774.24 and 872.27

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Solution

The fourth proportional to 2,515.76, 3,774.24 and 872.27 is: 1,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.76 : 3,774.24 = 872.27 : x
  2. Step 2: Convert to fraction form
    2,515.76/3,774.24 = 872.27/x
  3. Step 3: Cross multiply
    2,515.76x = 3,774.24 × 872.27
  4. Step 4: Simplify right side
    2,515.76x = 3,292,137.45
  5. Step 5: Solve for x
    x = 3,292,137.45/2,515.76
  6. Step 6: Final answer
    x = 1,308.61

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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.