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Finding the Fourth Proportional to 2,361.90, 3,259.38 and 1,615.83

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Solution

The fourth proportional to 2,361.90, 3,259.38 and 1,615.83 is: 2,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.90 : 3,259.38 = 1,615.83 : x
  2. Step 2: Convert to fraction form
    2,361.90/3,259.38 = 1,615.83/x
  3. Step 3: Cross multiply
    2,361.90x = 3,259.38 × 1,615.83
  4. Step 4: Simplify right side
    2,361.90x = 5,266,608.09
  5. Step 5: Solve for x
    x = 5,266,608.09/2,361.90
  6. Step 6: Final answer
    x = 2,229.82

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Why These Related Problems?

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