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Finding the Fourth Proportional to 2,512.88, 3,768.48 and 869.38

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Solution

The fourth proportional to 2,512.88, 3,768.48 and 869.38 is: 1,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.88 : 3,768.48 = 869.38 : x
  2. Step 2: Convert to fraction form
    2,512.88/3,768.48 = 869.38/x
  3. Step 3: Cross multiply
    2,512.88x = 3,768.48 × 869.38
  4. Step 4: Simplify right side
    2,512.88x = 3,276,241.14
  5. Step 5: Solve for x
    x = 3,276,241.14/2,512.88
  6. Step 6: Final answer
    x = 1,303.78

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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.