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Finding the Fourth Proportional to 2,254.57, 3,380.47 and 1,084.93

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Solution

The fourth proportional to 2,254.57, 3,380.47 and 1,084.93 is: 1,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.57 : 3,380.47 = 1,084.93 : x
  2. Step 2: Convert to fraction form
    2,254.57/3,380.47 = 1,084.93/x
  3. Step 3: Cross multiply
    2,254.57x = 3,380.47 × 1,084.93
  4. Step 4: Simplify right side
    2,254.57x = 3,667,573.32
  5. Step 5: Solve for x
    x = 3,667,573.32/2,254.57
  6. Step 6: Final answer
    x = 1,626.73

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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.