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Finding the Fourth Proportional to 2,194.34, 3,290.82 and 1,098.10

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Solution

The fourth proportional to 2,194.34, 3,290.82 and 1,098.10 is: 1,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.34 : 3,290.82 = 1,098.10 : x
  2. Step 2: Convert to fraction form
    2,194.34/3,290.82 = 1,098.10/x
  3. Step 3: Cross multiply
    2,194.34x = 3,290.82 × 1,098.10
  4. Step 4: Simplify right side
    2,194.34x = 3,613,649.44
  5. Step 5: Solve for x
    x = 3,613,649.44/2,194.34
  6. Step 6: Final answer
    x = 1,646.81

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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.