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Finding the Fourth Proportional to 1,217.43, 1,823.72 and 1,099.17

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Solution

The fourth proportional to 1,217.43, 1,823.72 and 1,099.17 is: 1,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.43 : 1,823.72 = 1,099.17 : x
  2. Step 2: Convert to fraction form
    1,217.43/1,823.72 = 1,099.17/x
  3. Step 3: Cross multiply
    1,217.43x = 1,823.72 × 1,099.17
  4. Step 4: Simplify right side
    1,217.43x = 2,004,572.82
  5. Step 5: Solve for x
    x = 2,004,572.82/1,217.43
  6. Step 6: Final answer
    x = 1,646.56

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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.