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Finding the Fourth Proportional to 2,512.79, 3,770.90 and 869.33

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Solution

The fourth proportional to 2,512.79, 3,770.90 and 869.33 is: 1,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.79 : 3,770.90 = 869.33 : x
  2. Step 2: Convert to fraction form
    2,512.79/3,770.90 = 869.33/x
  3. Step 3: Cross multiply
    2,512.79x = 3,770.90 × 869.33
  4. Step 4: Simplify right side
    2,512.79x = 3,278,133.30
  5. Step 5: Solve for x
    x = 3,278,133.30/2,512.79
  6. Step 6: Final answer
    x = 1,304.58

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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.