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Finding the Fourth Proportional to 2,229.34, 3,074.22 and 1,344.98

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Solution

The fourth proportional to 2,229.34, 3,074.22 and 1,344.98 is: 1,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.34 : 3,074.22 = 1,344.98 : x
  2. Step 2: Convert to fraction form
    2,229.34/3,074.22 = 1,344.98/x
  3. Step 3: Cross multiply
    2,229.34x = 3,074.22 × 1,344.98
  4. Step 4: Simplify right side
    2,229.34x = 4,134,764.42
  5. Step 5: Solve for x
    x = 4,134,764.42/2,229.34
  6. Step 6: Final answer
    x = 1,854.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.