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Finding the Fourth Proportional to 2,478.13, 3,716.56 and 834.64

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Solution

The fourth proportional to 2,478.13, 3,716.56 and 834.64 is: 1,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.13 : 3,716.56 = 834.64 : x
  2. Step 2: Convert to fraction form
    2,478.13/3,716.56 = 834.64/x
  3. Step 3: Cross multiply
    2,478.13x = 3,716.56 × 834.64
  4. Step 4: Simplify right side
    2,478.13x = 3,101,989.64
  5. Step 5: Solve for x
    x = 3,101,989.64/2,478.13
  6. Step 6: Final answer
    x = 1,251.75

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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.