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Finding the Fourth Proportional to 2,188.29, 3,019.89 and 1,193.56

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Solution

The fourth proportional to 2,188.29, 3,019.89 and 1,193.56 is: 1,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.29 : 3,019.89 = 1,193.56 : x
  2. Step 2: Convert to fraction form
    2,188.29/3,019.89 = 1,193.56/x
  3. Step 3: Cross multiply
    2,188.29x = 3,019.89 × 1,193.56
  4. Step 4: Simplify right side
    2,188.29x = 3,604,419.91
  5. Step 5: Solve for x
    x = 3,604,419.91/2,188.29
  6. Step 6: Final answer
    x = 1,647.14

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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.