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Finding the Fourth Proportional to 2,256.92, 3,385.26 and 795.95

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Solution

The fourth proportional to 2,256.92, 3,385.26 and 795.95 is: 1,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.92 : 3,385.26 = 795.95 : x
  2. Step 2: Convert to fraction form
    2,256.92/3,385.26 = 795.95/x
  3. Step 3: Cross multiply
    2,256.92x = 3,385.26 × 795.95
  4. Step 4: Simplify right side
    2,256.92x = 2,694,480.77
  5. Step 5: Solve for x
    x = 2,694,480.77/2,256.92
  6. Step 6: Final answer
    x = 1,193.88

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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.