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Finding the Fourth Proportional to 2,498.44, 3,446.58 and 1,613.80

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Solution

The fourth proportional to 2,498.44, 3,446.58 and 1,613.80 is: 2,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.44 : 3,446.58 = 1,613.80 : x
  2. Step 2: Convert to fraction form
    2,498.44/3,446.58 = 1,613.80/x
  3. Step 3: Cross multiply
    2,498.44x = 3,446.58 × 1,613.80
  4. Step 4: Simplify right side
    2,498.44x = 5,562,090.80
  5. Step 5: Solve for x
    x = 5,562,090.80/2,498.44
  6. Step 6: Final answer
    x = 2,226.23

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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.