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Finding the Fourth Proportional to 2,132.02, 3,198.48 and 671.28

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Solution

The fourth proportional to 2,132.02, 3,198.48 and 671.28 is: 1,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.02 : 3,198.48 = 671.28 : x
  2. Step 2: Convert to fraction form
    2,132.02/3,198.48 = 671.28/x
  3. Step 3: Cross multiply
    2,132.02x = 3,198.48 × 671.28
  4. Step 4: Simplify right side
    2,132.02x = 2,147,075.65
  5. Step 5: Solve for x
    x = 2,147,075.65/2,132.02
  6. Step 6: Final answer
    x = 1,007.06

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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.