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Finding the Fourth Proportional to 2,131.81, 3,198.62 and 899.49

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Solution

The fourth proportional to 2,131.81, 3,198.62 and 899.49 is: 1,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.81 : 3,198.62 = 899.49 : x
  2. Step 2: Convert to fraction form
    2,131.81/3,198.62 = 899.49/x
  3. Step 3: Cross multiply
    2,131.81x = 3,198.62 × 899.49
  4. Step 4: Simplify right side
    2,131.81x = 2,877,126.70
  5. Step 5: Solve for x
    x = 2,877,126.70/2,131.81
  6. Step 6: Final answer
    x = 1,349.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.