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Finding the Fourth Proportional to 2,441.70, 3,661.98 and 798.18

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Solution

The fourth proportional to 2,441.70, 3,661.98 and 798.18 is: 1,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.70 : 3,661.98 = 798.18 : x
  2. Step 2: Convert to fraction form
    2,441.70/3,661.98 = 798.18/x
  3. Step 3: Cross multiply
    2,441.70x = 3,661.98 × 798.18
  4. Step 4: Simplify right side
    2,441.70x = 2,922,919.20
  5. Step 5: Solve for x
    x = 2,922,919.20/2,441.70
  6. Step 6: Final answer
    x = 1,197.08

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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.