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Finding the Fourth Proportional to 3,198.59, 4,796.62 and 1,532.25

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Solution

The fourth proportional to 3,198.59, 4,796.62 and 1,532.25 is: 2,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.59 : 4,796.62 = 1,532.25 : x
  2. Step 2: Convert to fraction form
    3,198.59/4,796.62 = 1,532.25/x
  3. Step 3: Cross multiply
    3,198.59x = 4,796.62 × 1,532.25
  4. Step 4: Simplify right side
    3,198.59x = 7,349,617.16
  5. Step 5: Solve for x
    x = 7,349,617.16/3,198.59
  6. Step 6: Final answer
    x = 2,297.77

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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.