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Finding the Fourth Proportional to 3,083.12, 4,626.24 and 1,544

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Solution

The fourth proportional to 3,083.12, 4,626.24 and 1,544 is: 2,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.12 : 4,626.24 = 1,544 : x
  2. Step 2: Convert to fraction form
    3,083.12/4,626.24 = 1,544/x
  3. Step 3: Cross multiply
    3,083.12x = 4,626.24 × 1,544
  4. Step 4: Simplify right side
    3,083.12x = 7,142,914.56
  5. Step 5: Solve for x
    x = 7,142,914.56/3,083.12
  6. Step 6: Final answer
    x = 2,316.78

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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.