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Finding the Fourth Proportional to 2,834.44, 4,251.98 and 754.52

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Solution

The fourth proportional to 2,834.44, 4,251.98 and 754.52 is: 1,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.44 : 4,251.98 = 754.52 : x
  2. Step 2: Convert to fraction form
    2,834.44/4,251.98 = 754.52/x
  3. Step 3: Cross multiply
    2,834.44x = 4,251.98 × 754.52
  4. Step 4: Simplify right side
    2,834.44x = 3,208,210.81
  5. Step 5: Solve for x
    x = 3,208,210.81/2,834.44
  6. Step 6: Final answer
    x = 1,131.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.