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Finding the Fourth Proportional to 2,566.03, 3,849.45 and 834.25

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Solution

The fourth proportional to 2,566.03, 3,849.45 and 834.25 is: 1,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.03 : 3,849.45 = 834.25 : x
  2. Step 2: Convert to fraction form
    2,566.03/3,849.45 = 834.25/x
  3. Step 3: Cross multiply
    2,566.03x = 3,849.45 × 834.25
  4. Step 4: Simplify right side
    2,566.03x = 3,211,403.66
  5. Step 5: Solve for x
    x = 3,211,403.66/2,566.03
  6. Step 6: Final answer
    x = 1,251.51

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Half scale
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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.