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Finding the Fourth Proportional to 2,233.79, 3,349.91 and 917.17

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Solution

The fourth proportional to 2,233.79, 3,349.91 and 917.17 is: 1,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.79 : 3,349.91 = 917.17 : x
  2. Step 2: Convert to fraction form
    2,233.79/3,349.91 = 917.17/x
  3. Step 3: Cross multiply
    2,233.79x = 3,349.91 × 917.17
  4. Step 4: Simplify right side
    2,233.79x = 3,072,436.95
  5. Step 5: Solve for x
    x = 3,072,436.95/2,233.79
  6. Step 6: Final answer
    x = 1,375.44

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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.