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Finding the Fourth Proportional to 2,151.14, 3,229.13 and 853.52

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Solution

The fourth proportional to 2,151.14, 3,229.13 and 853.52 is: 1,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.14 : 3,229.13 = 853.52 : x
  2. Step 2: Convert to fraction form
    2,151.14/3,229.13 = 853.52/x
  3. Step 3: Cross multiply
    2,151.14x = 3,229.13 × 853.52
  4. Step 4: Simplify right side
    2,151.14x = 2,756,113.03
  5. Step 5: Solve for x
    x = 2,756,113.03/2,151.14
  6. Step 6: Final answer
    x = 1,281.24

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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.