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Finding the Fourth Proportional to 2,256.24, 3,383.12 and 794.28

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Solution

The fourth proportional to 2,256.24, 3,383.12 and 794.28 is: 1,190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.24 : 3,383.12 = 794.28 : x
  2. Step 2: Convert to fraction form
    2,256.24/3,383.12 = 794.28/x
  3. Step 3: Cross multiply
    2,256.24x = 3,383.12 × 794.28
  4. Step 4: Simplify right side
    2,256.24x = 2,687,144.55
  5. Step 5: Solve for x
    x = 2,687,144.55/2,256.24
  6. Step 6: Final answer
    x = 1,190.98

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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.