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Finding the Fourth Proportional to 2,782.85, 4,173.05 and 834.59

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Solution

The fourth proportional to 2,782.85, 4,173.05 and 834.59 is: 1,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.85 : 4,173.05 = 834.59 : x
  2. Step 2: Convert to fraction form
    2,782.85/4,173.05 = 834.59/x
  3. Step 3: Cross multiply
    2,782.85x = 4,173.05 × 834.59
  4. Step 4: Simplify right side
    2,782.85x = 3,482,760.76
  5. Step 5: Solve for x
    x = 3,482,760.76/2,782.85
  6. Step 6: Final answer
    x = 1,251.51

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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.