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Finding the Fourth Proportional to 2,188.11, 3,019.60 and 1,193.38

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Solution

The fourth proportional to 2,188.11, 3,019.60 and 1,193.38 is: 1,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.11 : 3,019.60 = 1,193.38 : x
  2. Step 2: Convert to fraction form
    2,188.11/3,019.60 = 1,193.38/x
  3. Step 3: Cross multiply
    2,188.11x = 3,019.60 × 1,193.38
  4. Step 4: Simplify right side
    2,188.11x = 3,603,530.25
  5. Step 5: Solve for x
    x = 3,603,530.25/2,188.11
  6. Step 6: Final answer
    x = 1,646.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.