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Finding the Fourth Proportional to 2,914.76, 4,371.49 and 834.75

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Solution

The fourth proportional to 2,914.76, 4,371.49 and 834.75 is: 1,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.76 : 4,371.49 = 834.75 : x
  2. Step 2: Convert to fraction form
    2,914.76/4,371.49 = 834.75/x
  3. Step 3: Cross multiply
    2,914.76x = 4,371.49 × 834.75
  4. Step 4: Simplify right side
    2,914.76x = 3,649,097.10
  5. Step 5: Solve for x
    x = 3,649,097.10/2,914.76
  6. Step 6: Final answer
    x = 1,251.94

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1.5x scale

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.