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Finding the Fourth Proportional to 2,834.10, 4,251.23 and 754.10

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Solution

The fourth proportional to 2,834.10, 4,251.23 and 754.10 is: 1,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.10 : 4,251.23 = 754.10 : x
  2. Step 2: Convert to fraction form
    2,834.10/4,251.23 = 754.10/x
  3. Step 3: Cross multiply
    2,834.10x = 4,251.23 × 754.10
  4. Step 4: Simplify right side
    2,834.10x = 3,205,846.29
  5. Step 5: Solve for x
    x = 3,205,846.29/2,834.10
  6. Step 6: Final answer
    x = 1,131.17

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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.