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Finding the Fourth Proportional to 2,361.67, 3,542.70 and 881.29

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Solution

The fourth proportional to 2,361.67, 3,542.70 and 881.29 is: 1,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.67 : 3,542.70 = 881.29 : x
  2. Step 2: Convert to fraction form
    2,361.67/3,542.70 = 881.29/x
  3. Step 3: Cross multiply
    2,361.67x = 3,542.70 × 881.29
  4. Step 4: Simplify right side
    2,361.67x = 3,122,146.08
  5. Step 5: Solve for x
    x = 3,122,146.08/2,361.67
  6. Step 6: Final answer
    x = 1,322.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.