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Finding the Fourth Proportional to 2,188.04, 3,019.41 and 1,193.31

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Solution

The fourth proportional to 2,188.04, 3,019.41 and 1,193.31 is: 1,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.04 : 3,019.41 = 1,193.31 : x
  2. Step 2: Convert to fraction form
    2,188.04/3,019.41 = 1,193.31/x
  3. Step 3: Cross multiply
    2,188.04x = 3,019.41 × 1,193.31
  4. Step 4: Simplify right side
    2,188.04x = 3,603,092.15
  5. Step 5: Solve for x
    x = 3,603,092.15/2,188.04
  6. Step 6: Final answer
    x = 1,646.73

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