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Finding the Fourth Proportional to 3,198.32, 4,798.87 and 1,119.81

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Solution

The fourth proportional to 3,198.32, 4,798.87 and 1,119.81 is: 1,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.32 : 4,798.87 = 1,119.81 : x
  2. Step 2: Convert to fraction form
    3,198.32/4,798.87 = 1,119.81/x
  3. Step 3: Cross multiply
    3,198.32x = 4,798.87 × 1,119.81
  4. Step 4: Simplify right side
    3,198.32x = 5,373,831.81
  5. Step 5: Solve for x
    x = 5,373,831.81/3,198.32
  6. Step 6: Final answer
    x = 1,680.21

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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.