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Finding the Fourth Proportional to 2,585.84, 3,879.36 and 736.91

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Solution

The fourth proportional to 2,585.84, 3,879.36 and 736.91 is: 1,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.84 : 3,879.36 = 736.91 : x
  2. Step 2: Convert to fraction form
    2,585.84/3,879.36 = 736.91/x
  3. Step 3: Cross multiply
    2,585.84x = 3,879.36 × 736.91
  4. Step 4: Simplify right side
    2,585.84x = 2,858,734.33
  5. Step 5: Solve for x
    x = 2,858,734.33/2,585.84
  6. Step 6: Final answer
    x = 1,105.54

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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.