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Finding the Fourth Proportional to 2,449.98, 3,674.52 and 2,326.86

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Solution

The fourth proportional to 2,449.98, 3,674.52 and 2,326.86 is: 3,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.98 : 3,674.52 = 2,326.86 : x
  2. Step 2: Convert to fraction form
    2,449.98/3,674.52 = 2,326.86/x
  3. Step 3: Cross multiply
    2,449.98x = 3,674.52 × 2,326.86
  4. Step 4: Simplify right side
    2,449.98x = 8,550,093.61
  5. Step 5: Solve for x
    x = 8,550,093.61/2,449.98
  6. Step 6: Final answer
    x = 3,489.86

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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.