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Finding the Fourth Proportional to 2,188.19, 3,019.68 and 1,193.48

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Solution

The fourth proportional to 2,188.19, 3,019.68 and 1,193.48 is: 1,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.19 : 3,019.68 = 1,193.48 : x
  2. Step 2: Convert to fraction form
    2,188.19/3,019.68 = 1,193.48/x
  3. Step 3: Cross multiply
    2,188.19x = 3,019.68 × 1,193.48
  4. Step 4: Simplify right side
    2,188.19x = 3,603,923.91
  5. Step 5: Solve for x
    x = 3,603,923.91/2,188.19
  6. Step 6: Final answer
    x = 1,646.99

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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.