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Finding the Fourth Proportional to 2,132.98, 3,198.39 and 899.08

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Solution

The fourth proportional to 2,132.98, 3,198.39 and 899.08 is: 1,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.98 : 3,198.39 = 899.08 : x
  2. Step 2: Convert to fraction form
    2,132.98/3,198.39 = 899.08/x
  3. Step 3: Cross multiply
    2,132.98x = 3,198.39 × 899.08
  4. Step 4: Simplify right side
    2,132.98x = 2,875,608.48
  5. Step 5: Solve for x
    x = 2,875,608.48/2,132.98
  6. Step 6: Final answer
    x = 1,348.16

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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.