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Finding the Fourth Proportional to 2,256.05, 3,381.95 and 794.21

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Solution

The fourth proportional to 2,256.05, 3,381.95 and 794.21 is: 1,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.05 : 3,381.95 = 794.21 : x
  2. Step 2: Convert to fraction form
    2,256.05/3,381.95 = 794.21/x
  3. Step 3: Cross multiply
    2,256.05x = 3,381.95 × 794.21
  4. Step 4: Simplify right side
    2,256.05x = 2,685,963.59
  5. Step 5: Solve for x
    x = 2,685,963.59/2,256.05
  6. Step 6: Final answer
    x = 1,190.56

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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.