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Finding the Fourth Proportional to 2,221.62, 3,313.65 and 2,093.14

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Solution

The fourth proportional to 2,221.62, 3,313.65 and 2,093.14 is: 3,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.62 : 3,313.65 = 2,093.14 : x
  2. Step 2: Convert to fraction form
    2,221.62/3,313.65 = 2,093.14/x
  3. Step 3: Cross multiply
    2,221.62x = 3,313.65 × 2,093.14
  4. Step 4: Simplify right side
    2,221.62x = 6,935,933.36
  5. Step 5: Solve for x
    x = 6,935,933.36/2,221.62
  6. Step 6: Final answer
    x = 3,122.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.