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Finding the Fourth Proportional to 1,331.93, 1,834.14 and 911.84

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Solution

The fourth proportional to 1,331.93, 1,834.14 and 911.84 is: 1,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.93 : 1,834.14 = 911.84 : x
  2. Step 2: Convert to fraction form
    1,331.93/1,834.14 = 911.84/x
  3. Step 3: Cross multiply
    1,331.93x = 1,834.14 × 911.84
  4. Step 4: Simplify right side
    1,331.93x = 1,672,433.05
  5. Step 5: Solve for x
    x = 1,672,433.05/1,331.93
  6. Step 6: Final answer
    x = 1,255.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.