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Finding the Fourth Proportional to 2,782.17, 4,173.21 and 834.48

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Solution

The fourth proportional to 2,782.17, 4,173.21 and 834.48 is: 1,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.17 : 4,173.21 = 834.48 : x
  2. Step 2: Convert to fraction form
    2,782.17/4,173.21 = 834.48/x
  3. Step 3: Cross multiply
    2,782.17x = 4,173.21 × 834.48
  4. Step 4: Simplify right side
    2,782.17x = 3,482,460.28
  5. Step 5: Solve for x
    x = 3,482,460.28/2,782.17
  6. Step 6: Final answer
    x = 1,251.71

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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.