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Finding the Fourth Proportional to 2,834.48, 4,251.90 and 754.45

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Solution

The fourth proportional to 2,834.48, 4,251.90 and 754.45 is: 1,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.48 : 4,251.90 = 754.45 : x
  2. Step 2: Convert to fraction form
    2,834.48/4,251.90 = 754.45/x
  3. Step 3: Cross multiply
    2,834.48x = 4,251.90 × 754.45
  4. Step 4: Simplify right side
    2,834.48x = 3,207,845.96
  5. Step 5: Solve for x
    x = 3,207,845.96/2,834.48
  6. Step 6: Final answer
    x = 1,131.72

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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.