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Finding the Fourth Proportional to 2,361.51, 3,542.27 and 1,386.27

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Solution

The fourth proportional to 2,361.51, 3,542.27 and 1,386.27 is: 2,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.51 : 3,542.27 = 1,386.27 : x
  2. Step 2: Convert to fraction form
    2,361.51/3,542.27 = 1,386.27/x
  3. Step 3: Cross multiply
    2,361.51x = 3,542.27 × 1,386.27
  4. Step 4: Simplify right side
    2,361.51x = 4,910,535.70
  5. Step 5: Solve for x
    x = 4,910,535.70/2,361.51
  6. Step 6: Final answer
    x = 2,079.41

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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.