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Finding the Fourth Proportional to 2,361.06, 3,542.12 and 779.89

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Solution

The fourth proportional to 2,361.06, 3,542.12 and 779.89 is: 1,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.06 : 3,542.12 = 779.89 : x
  2. Step 2: Convert to fraction form
    2,361.06/3,542.12 = 779.89/x
  3. Step 3: Cross multiply
    2,361.06x = 3,542.12 × 779.89
  4. Step 4: Simplify right side
    2,361.06x = 2,762,463.97
  5. Step 5: Solve for x
    x = 2,762,463.97/2,361.06
  6. Step 6: Final answer
    x = 1,170.01

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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.