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Finding the Fourth Proportional to 2,150.82, 3,220.14 and 1,368.87

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Solution

The fourth proportional to 2,150.82, 3,220.14 and 1,368.87 is: 2,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.82 : 3,220.14 = 1,368.87 : x
  2. Step 2: Convert to fraction form
    2,150.82/3,220.14 = 1,368.87/x
  3. Step 3: Cross multiply
    2,150.82x = 3,220.14 × 1,368.87
  4. Step 4: Simplify right side
    2,150.82x = 4,407,953.04
  5. Step 5: Solve for x
    x = 4,407,953.04/2,150.82
  6. Step 6: Final answer
    x = 2,049.43

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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.