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Finding the Fourth Proportional to 2,525.70, 3,789.17 and 794.33

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Solution

The fourth proportional to 2,525.70, 3,789.17 and 794.33 is: 1,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.70 : 3,789.17 = 794.33 : x
  2. Step 2: Convert to fraction form
    2,525.70/3,789.17 = 794.33/x
  3. Step 3: Cross multiply
    2,525.70x = 3,789.17 × 794.33
  4. Step 4: Simplify right side
    2,525.70x = 3,009,828.49
  5. Step 5: Solve for x
    x = 3,009,828.49/2,525.70
  6. Step 6: Final answer
    x = 1,191.68

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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.