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Finding the Fourth Proportional to 2,241.60, 3,363.84 and 1,188.38

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Solution

The fourth proportional to 2,241.60, 3,363.84 and 1,188.38 is: 1,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.60 : 3,363.84 = 1,188.38 : x
  2. Step 2: Convert to fraction form
    2,241.60/3,363.84 = 1,188.38/x
  3. Step 3: Cross multiply
    2,241.60x = 3,363.84 × 1,188.38
  4. Step 4: Simplify right side
    2,241.60x = 3,997,520.18
  5. Step 5: Solve for x
    x = 3,997,520.18/2,241.60
  6. Step 6: Final answer
    x = 1,783.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.