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Finding the Fourth Proportional to 3,067.84, 4,603.13 and 1,119.59

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Solution

The fourth proportional to 3,067.84, 4,603.13 and 1,119.59 is: 1,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.84 : 4,603.13 = 1,119.59 : x
  2. Step 2: Convert to fraction form
    3,067.84/4,603.13 = 1,119.59/x
  3. Step 3: Cross multiply
    3,067.84x = 4,603.13 × 1,119.59
  4. Step 4: Simplify right side
    3,067.84x = 5,153,611.16
  5. Step 5: Solve for x
    x = 5,153,611.16/3,067.84
  6. Step 6: Final answer
    x = 1,679.88

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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.