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Finding the Fourth Proportional to 2,449.17, 3,379.76 and 1,454.42

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Solution

The fourth proportional to 2,449.17, 3,379.76 and 1,454.42 is: 2,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.17 : 3,379.76 = 1,454.42 : x
  2. Step 2: Convert to fraction form
    2,449.17/3,379.76 = 1,454.42/x
  3. Step 3: Cross multiply
    2,449.17x = 3,379.76 × 1,454.42
  4. Step 4: Simplify right side
    2,449.17x = 4,915,597.17
  5. Step 5: Solve for x
    x = 4,915,597.17/2,449.17
  6. Step 6: Final answer
    x = 2,007.05

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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.