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Finding the Fourth Proportional to 2,498.42, 3,449.23 and 2,221.58

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Solution

The fourth proportional to 2,498.42, 3,449.23 and 2,221.58 is: 3,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.42 : 3,449.23 = 2,221.58 : x
  2. Step 2: Convert to fraction form
    2,498.42/3,449.23 = 2,221.58/x
  3. Step 3: Cross multiply
    2,498.42x = 3,449.23 × 2,221.58
  4. Step 4: Simplify right side
    2,498.42x = 7,662,717.58
  5. Step 5: Solve for x
    x = 7,662,717.58/2,498.42
  6. Step 6: Final answer
    x = 3,067.03

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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.