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Finding the Fourth Proportional to 2,335.44, 3,502.08 and 1,361.82

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Solution

The fourth proportional to 2,335.44, 3,502.08 and 1,361.82 is: 2,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.44 : 3,502.08 = 1,361.82 : x
  2. Step 2: Convert to fraction form
    2,335.44/3,502.08 = 1,361.82/x
  3. Step 3: Cross multiply
    2,335.44x = 3,502.08 × 1,361.82
  4. Step 4: Simplify right side
    2,335.44x = 4,769,202.59
  5. Step 5: Solve for x
    x = 4,769,202.59/2,335.44
  6. Step 6: Final answer
    x = 2,042.10

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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.