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Finding the Fourth Proportional to 2,256.60, 3,380.04 and 1,433.44

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Solution

The fourth proportional to 2,256.60, 3,380.04 and 1,433.44 is: 2,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.60 : 3,380.04 = 1,433.44 : x
  2. Step 2: Convert to fraction form
    2,256.60/3,380.04 = 1,433.44/x
  3. Step 3: Cross multiply
    2,256.60x = 3,380.04 × 1,433.44
  4. Step 4: Simplify right side
    2,256.60x = 4,845,084.54
  5. Step 5: Solve for x
    x = 4,845,084.54/2,256.60
  6. Step 6: Final answer
    x = 2,147.07

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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.