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Finding the Fourth Proportional to 2,514, 3,770.12 and 1,052.72

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Solution

The fourth proportional to 2,514, 3,770.12 and 1,052.72 is: 1,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514 : 3,770.12 = 1,052.72 : x
  2. Step 2: Convert to fraction form
    2,514/3,770.12 = 1,052.72/x
  3. Step 3: Cross multiply
    2,514x = 3,770.12 × 1,052.72
  4. Step 4: Simplify right side
    2,514x = 3,968,880.73
  5. Step 5: Solve for x
    x = 3,968,880.73/2,514
  6. Step 6: Final answer
    x = 1,578.71

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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.