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Finding the Fourth Proportional to 3,067.39, 4,603.10 and 1,681.70

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Solution

The fourth proportional to 3,067.39, 4,603.10 and 1,681.70 is: 2,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.39 : 4,603.10 = 1,681.70 : x
  2. Step 2: Convert to fraction form
    3,067.39/4,603.10 = 1,681.70/x
  3. Step 3: Cross multiply
    3,067.39x = 4,603.10 × 1,681.70
  4. Step 4: Simplify right side
    3,067.39x = 7,741,016.78
  5. Step 5: Solve for x
    x = 7,741,016.78/3,067.39
  6. Step 6: Final answer
    x = 2,523.65

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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.