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Finding the Fourth Proportional to 3,198.76, 4,797.84 and 1,007.32

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Solution

The fourth proportional to 3,198.76, 4,797.84 and 1,007.32 is: 1,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.76 : 4,797.84 = 1,007.32 : x
  2. Step 2: Convert to fraction form
    3,198.76/4,797.84 = 1,007.32/x
  3. Step 3: Cross multiply
    3,198.76x = 4,797.84 × 1,007.32
  4. Step 4: Simplify right side
    3,198.76x = 4,832,960.19
  5. Step 5: Solve for x
    x = 4,832,960.19/3,198.76
  6. Step 6: Final answer
    x = 1,510.89

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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.