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Finding the Fourth Proportional to 2,525.84, 3,789.12 and 794.48

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Solution

The fourth proportional to 2,525.84, 3,789.12 and 794.48 is: 1,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.84 : 3,789.12 = 794.48 : x
  2. Step 2: Convert to fraction form
    2,525.84/3,789.12 = 794.48/x
  3. Step 3: Cross multiply
    2,525.84x = 3,789.12 × 794.48
  4. Step 4: Simplify right side
    2,525.84x = 3,010,380.06
  5. Step 5: Solve for x
    x = 3,010,380.06/2,525.84
  6. Step 6: Final answer
    x = 1,191.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.