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Finding the Fourth Proportional to 2,195.43, 3,289.17 and 1,207.17

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Solution

The fourth proportional to 2,195.43, 3,289.17 and 1,207.17 is: 1,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.43 : 3,289.17 = 1,207.17 : x
  2. Step 2: Convert to fraction form
    2,195.43/3,289.17 = 1,207.17/x
  3. Step 3: Cross multiply
    2,195.43x = 3,289.17 × 1,207.17
  4. Step 4: Simplify right side
    2,195.43x = 3,970,587.35
  5. Step 5: Solve for x
    x = 3,970,587.35/2,195.43
  6. Step 6: Final answer
    x = 1,808.57

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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.