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Finding the Fourth Proportional to 2,661.58, 3,993.04 and 812.62

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Solution

The fourth proportional to 2,661.58, 3,993.04 and 812.62 is: 1,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.58 : 3,993.04 = 812.62 : x
  2. Step 2: Convert to fraction form
    2,661.58/3,993.04 = 812.62/x
  3. Step 3: Cross multiply
    2,661.58x = 3,993.04 × 812.62
  4. Step 4: Simplify right side
    2,661.58x = 3,244,815.20
  5. Step 5: Solve for x
    x = 3,244,815.20/2,661.58
  6. Step 6: Final answer
    x = 1,219.13

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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.