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Finding the Fourth Proportional to 2,525.74, 3,789.21 and 794.36

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Solution

The fourth proportional to 2,525.74, 3,789.21 and 794.36 is: 1,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.74 : 3,789.21 = 794.36 : x
  2. Step 2: Convert to fraction form
    2,525.74/3,789.21 = 794.36/x
  3. Step 3: Cross multiply
    2,525.74x = 3,789.21 × 794.36
  4. Step 4: Simplify right side
    2,525.74x = 3,009,996.86
  5. Step 5: Solve for x
    x = 3,009,996.86/2,525.74
  6. Step 6: Final answer
    x = 1,191.73

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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.