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Finding the Fourth Proportional to 2,834.56, 4,251.50 and 754.72

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Solution

The fourth proportional to 2,834.56, 4,251.50 and 754.72 is: 1,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.56 : 4,251.50 = 754.72 : x
  2. Step 2: Convert to fraction form
    2,834.56/4,251.50 = 754.72/x
  3. Step 3: Cross multiply
    2,834.56x = 4,251.50 × 754.72
  4. Step 4: Simplify right side
    2,834.56x = 3,208,684.75
  5. Step 5: Solve for x
    x = 3,208,684.75/2,834.56
  6. Step 6: Final answer
    x = 1,131.99

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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.