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Finding the Fourth Proportional to 2,525.85, 3,788.92 and 794.47

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Solution

The fourth proportional to 2,525.85, 3,788.92 and 794.47 is: 1,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.85 : 3,788.92 = 794.47 : x
  2. Step 2: Convert to fraction form
    2,525.85/3,788.92 = 794.47/x
  3. Step 3: Cross multiply
    2,525.85x = 3,788.92 × 794.47
  4. Step 4: Simplify right side
    2,525.85x = 3,010,183.27
  5. Step 5: Solve for x
    x = 3,010,183.27/2,525.85
  6. Step 6: Final answer
    x = 1,191.75

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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.