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Finding the Fourth Proportional to 2,194.53, 3,291.06 and 1,098.14

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Solution

The fourth proportional to 2,194.53, 3,291.06 and 1,098.14 is: 1,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.53 : 3,291.06 = 1,098.14 : x
  2. Step 2: Convert to fraction form
    2,194.53/3,291.06 = 1,098.14/x
  3. Step 3: Cross multiply
    2,194.53x = 3,291.06 × 1,098.14
  4. Step 4: Simplify right side
    2,194.53x = 3,614,050.80
  5. Step 5: Solve for x
    x = 3,614,050.80/2,194.53
  6. Step 6: Final answer
    x = 1,646.85

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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.