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Finding the Fourth Proportional to 2,404.26, 3,620.25 and 1,792.26

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Solution

The fourth proportional to 2,404.26, 3,620.25 and 1,792.26 is: 2,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.26 : 3,620.25 = 1,792.26 : x
  2. Step 2: Convert to fraction form
    2,404.26/3,620.25 = 1,792.26/x
  3. Step 3: Cross multiply
    2,404.26x = 3,620.25 × 1,792.26
  4. Step 4: Simplify right side
    2,404.26x = 6,488,429.27
  5. Step 5: Solve for x
    x = 6,488,429.27/2,404.26
  6. Step 6: Final answer
    x = 2,698.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.