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Finding the Fourth Proportional to 2,240.62, 3,361.74 and 701.62

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Solution

The fourth proportional to 2,240.62, 3,361.74 and 701.62 is: 1,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.62 : 3,361.74 = 701.62 : x
  2. Step 2: Convert to fraction form
    2,240.62/3,361.74 = 701.62/x
  3. Step 3: Cross multiply
    2,240.62x = 3,361.74 × 701.62
  4. Step 4: Simplify right side
    2,240.62x = 2,358,664.02
  5. Step 5: Solve for x
    x = 2,358,664.02/2,240.62
  6. Step 6: Final answer
    x = 1,052.68

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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.