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Finding the Fourth Proportional to 2,194.44, 3,289.95 and 1,098.24

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Solution

The fourth proportional to 2,194.44, 3,289.95 and 1,098.24 is: 1,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.44 : 3,289.95 = 1,098.24 : x
  2. Step 2: Convert to fraction form
    2,194.44/3,289.95 = 1,098.24/x
  3. Step 3: Cross multiply
    2,194.44x = 3,289.95 × 1,098.24
  4. Step 4: Simplify right side
    2,194.44x = 3,613,154.69
  5. Step 5: Solve for x
    x = 3,613,154.69/2,194.44
  6. Step 6: Final answer
    x = 1,646.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.