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Finding the Fourth Proportional to 2,512.98, 3,770.08 and 869.52

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Solution

The fourth proportional to 2,512.98, 3,770.08 and 869.52 is: 1,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.98 : 3,770.08 = 869.52 : x
  2. Step 2: Convert to fraction form
    2,512.98/3,770.08 = 869.52/x
  3. Step 3: Cross multiply
    2,512.98x = 3,770.08 × 869.52
  4. Step 4: Simplify right side
    2,512.98x = 3,278,159.96
  5. Step 5: Solve for x
    x = 3,278,159.96/2,512.98
  6. Step 6: Final answer
    x = 1,304.49

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1.5x scale

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.