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Finding the Fourth Proportional to 2,478.20, 3,716.01 and 834.30

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Solution

The fourth proportional to 2,478.20, 3,716.01 and 834.30 is: 1,251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.20 : 3,716.01 = 834.30 : x
  2. Step 2: Convert to fraction form
    2,478.20/3,716.01 = 834.30/x
  3. Step 3: Cross multiply
    2,478.20x = 3,716.01 × 834.30
  4. Step 4: Simplify right side
    2,478.20x = 3,100,267.14
  5. Step 5: Solve for x
    x = 3,100,267.14/2,478.20
  6. Step 6: Final answer
    x = 1,251.02

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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.