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Finding the Fourth Proportional to 2,256.96, 3,380.52 and 1,100.28

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Solution

The fourth proportional to 2,256.96, 3,380.52 and 1,100.28 is: 1,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.96 : 3,380.52 = 1,100.28 : x
  2. Step 2: Convert to fraction form
    2,256.96/3,380.52 = 1,100.28/x
  3. Step 3: Cross multiply
    2,256.96x = 3,380.52 × 1,100.28
  4. Step 4: Simplify right side
    2,256.96x = 3,719,518.55
  5. Step 5: Solve for x
    x = 3,719,518.55/2,256.96
  6. Step 6: Final answer
    x = 1,648.02

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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.