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Finding the Fourth Proportional to 2,512.77, 3,770.18 and 870.47

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Solution

The fourth proportional to 2,512.77, 3,770.18 and 870.47 is: 1,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.77 : 3,770.18 = 870.47 : x
  2. Step 2: Convert to fraction form
    2,512.77/3,770.18 = 870.47/x
  3. Step 3: Cross multiply
    2,512.77x = 3,770.18 × 870.47
  4. Step 4: Simplify right side
    2,512.77x = 3,281,805.38
  5. Step 5: Solve for x
    x = 3,281,805.38/2,512.77
  6. Step 6: Final answer
    x = 1,306.05

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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.