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Finding the Fourth Proportional to 2,241.60, 3,362.24 and 1,314.24

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Solution

The fourth proportional to 2,241.60, 3,362.24 and 1,314.24 is: 1,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.60 : 3,362.24 = 1,314.24 : x
  2. Step 2: Convert to fraction form
    2,241.60/3,362.24 = 1,314.24/x
  3. Step 3: Cross multiply
    2,241.60x = 3,362.24 × 1,314.24
  4. Step 4: Simplify right side
    2,241.60x = 4,418,790.30
  5. Step 5: Solve for x
    x = 4,418,790.30/2,241.60
  6. Step 6: Final answer
    x = 1,971.27

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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.