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Finding the Fourth Proportional to 2,255.32, 3,383.25 and 794.17

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Solution

The fourth proportional to 2,255.32, 3,383.25 and 794.17 is: 1,191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.32 : 3,383.25 = 794.17 : x
  2. Step 2: Convert to fraction form
    2,255.32/3,383.25 = 794.17/x
  3. Step 3: Cross multiply
    2,255.32x = 3,383.25 × 794.17
  4. Step 4: Simplify right side
    2,255.32x = 2,686,875.65
  5. Step 5: Solve for x
    x = 2,686,875.65/2,255.32
  6. Step 6: Final answer
    x = 1,191.35

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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.