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Finding the Fourth Proportional to 2,240.28, 3,361.86 and 1,215

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Solution

The fourth proportional to 2,240.28, 3,361.86 and 1,215 is: 1,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.28 : 3,361.86 = 1,215 : x
  2. Step 2: Convert to fraction form
    2,240.28/3,361.86 = 1,215/x
  3. Step 3: Cross multiply
    2,240.28x = 3,361.86 × 1,215
  4. Step 4: Simplify right side
    2,240.28x = 4,084,659.90
  5. Step 5: Solve for x
    x = 4,084,659.90/2,240.28
  6. Step 6: Final answer
    x = 1,823.28

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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.