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Finding the Fourth Proportional to 2,241.60, 3,362.04 and 942.84

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Solution

The fourth proportional to 2,241.60, 3,362.04 and 942.84 is: 1,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.60 : 3,362.04 = 942.84 : x
  2. Step 2: Convert to fraction form
    2,241.60/3,362.04 = 942.84/x
  3. Step 3: Cross multiply
    2,241.60x = 3,362.04 × 942.84
  4. Step 4: Simplify right side
    2,241.60x = 3,169,865.79
  5. Step 5: Solve for x
    x = 3,169,865.79/2,241.60
  6. Step 6: Final answer
    x = 1,414.11

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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.