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Finding the Fourth Proportional to 2,099.82, 3,151.05 and 801.42

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Solution

The fourth proportional to 2,099.82, 3,151.05 and 801.42 is: 1,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.82 : 3,151.05 = 801.42 : x
  2. Step 2: Convert to fraction form
    2,099.82/3,151.05 = 801.42/x
  3. Step 3: Cross multiply
    2,099.82x = 3,151.05 × 801.42
  4. Step 4: Simplify right side
    2,099.82x = 2,525,314.49
  5. Step 5: Solve for x
    x = 2,525,314.49/2,099.82
  6. Step 6: Final answer
    x = 1,202.63

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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.