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Finding the Fourth Proportional to 2,361.28, 3,543.81 and 1,266.43

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Solution

The fourth proportional to 2,361.28, 3,543.81 and 1,266.43 is: 1,900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.28 : 3,543.81 = 1,266.43 : x
  2. Step 2: Convert to fraction form
    2,361.28/3,543.81 = 1,266.43/x
  3. Step 3: Cross multiply
    2,361.28x = 3,543.81 × 1,266.43
  4. Step 4: Simplify right side
    2,361.28x = 4,487,987.30
  5. Step 5: Solve for x
    x = 4,487,987.30/2,361.28
  6. Step 6: Final answer
    x = 1,900.66

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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.