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Finding the Fourth Proportional to 2,525.25, 3,788.01 and 794.01

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Solution

The fourth proportional to 2,525.25, 3,788.01 and 794.01 is: 1,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.25 : 3,788.01 = 794.01 : x
  2. Step 2: Convert to fraction form
    2,525.25/3,788.01 = 794.01/x
  3. Step 3: Cross multiply
    2,525.25x = 3,788.01 × 794.01
  4. Step 4: Simplify right side
    2,525.25x = 3,007,717.82
  5. Step 5: Solve for x
    x = 3,007,717.82/2,525.25
  6. Step 6: Final answer
    x = 1,191.06

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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.