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Finding the Fourth Proportional to 2,525.28, 3,788.42 and 794.04

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Solution

The fourth proportional to 2,525.28, 3,788.42 and 794.04 is: 1,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.28 : 3,788.42 = 794.04 : x
  2. Step 2: Convert to fraction form
    2,525.28/3,788.42 = 794.04/x
  3. Step 3: Cross multiply
    2,525.28x = 3,788.42 × 794.04
  4. Step 4: Simplify right side
    2,525.28x = 3,008,157.02
  5. Step 5: Solve for x
    x = 3,008,157.02/2,525.28
  6. Step 6: Final answer
    x = 1,191.22

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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.