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Finding the Fourth Proportional to 1,233.15, 1,850.28 and 911.17

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Solution

The fourth proportional to 1,233.15, 1,850.28 and 911.17 is: 1,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.15 : 1,850.28 = 911.17 : x
  2. Step 2: Convert to fraction form
    1,233.15/1,850.28 = 911.17/x
  3. Step 3: Cross multiply
    1,233.15x = 1,850.28 × 911.17
  4. Step 4: Simplify right side
    1,233.15x = 1,685,919.63
  5. Step 5: Solve for x
    x = 1,685,919.63/1,233.15
  6. Step 6: Final answer
    x = 1,367.17

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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.