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Finding the Fourth Proportional to 2,361.69, 3,257.78 and 1,615.23

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Solution

The fourth proportional to 2,361.69, 3,257.78 and 1,615.23 is: 2,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.69 : 3,257.78 = 1,615.23 : x
  2. Step 2: Convert to fraction form
    2,361.69/3,257.78 = 1,615.23/x
  3. Step 3: Cross multiply
    2,361.69x = 3,257.78 × 1,615.23
  4. Step 4: Simplify right side
    2,361.69x = 5,262,055.91
  5. Step 5: Solve for x
    x = 5,262,055.91/2,361.69
  6. Step 6: Final answer
    x = 2,228.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.