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Finding the Fourth Proportional to 1,217.43, 1,826.15 and 601.43

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Solution

The fourth proportional to 1,217.43, 1,826.15 and 601.43 is: 902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.43 : 1,826.15 = 601.43 : x
  2. Step 2: Convert to fraction form
    1,217.43/1,826.15 = 601.43/x
  3. Step 3: Cross multiply
    1,217.43x = 1,826.15 × 601.43
  4. Step 4: Simplify right side
    1,217.43x = 1,098,289.26
  5. Step 5: Solve for x
    x = 1,098,289.26/1,217.43
  6. Step 6: Final answer
    x = 902.14

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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.