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Finding the Fourth Proportional to 2,512.98, 3,770.61 and 870.72

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Solution

The fourth proportional to 2,512.98, 3,770.61 and 870.72 is: 1,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.98 : 3,770.61 = 870.72 : x
  2. Step 2: Convert to fraction form
    2,512.98/3,770.61 = 870.72/x
  3. Step 3: Cross multiply
    2,512.98x = 3,770.61 × 870.72
  4. Step 4: Simplify right side
    2,512.98x = 3,283,145.54
  5. Step 5: Solve for x
    x = 3,283,145.54/2,512.98
  6. Step 6: Final answer
    x = 1,306.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.