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Finding the Fourth Proportional to 3,454.67, 5,182.46 and 1,264.43

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Solution

The fourth proportional to 3,454.67, 5,182.46 and 1,264.43 is: 1,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.67 : 5,182.46 = 1,264.43 : x
  2. Step 2: Convert to fraction form
    3,454.67/5,182.46 = 1,264.43/x
  3. Step 3: Cross multiply
    3,454.67x = 5,182.46 × 1,264.43
  4. Step 4: Simplify right side
    3,454.67x = 6,552,857.90
  5. Step 5: Solve for x
    x = 6,552,857.90/3,454.67
  6. Step 6: Final answer
    x = 1,896.81

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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.