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Finding the Fourth Proportional to 2,605.44, 3,908.54 and 961.85

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Solution

The fourth proportional to 2,605.44, 3,908.54 and 961.85 is: 1,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.44 : 3,908.54 = 961.85 : x
  2. Step 2: Convert to fraction form
    2,605.44/3,908.54 = 961.85/x
  3. Step 3: Cross multiply
    2,605.44x = 3,908.54 × 961.85
  4. Step 4: Simplify right side
    2,605.44x = 3,759,404.85
  5. Step 5: Solve for x
    x = 3,759,404.85/2,605.44
  6. Step 6: Final answer
    x = 1,442.91

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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.