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Finding the Fourth Proportional to 3,067.83, 4,602.17 and 1,219.13

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Solution

The fourth proportional to 3,067.83, 4,602.17 and 1,219.13 is: 1,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.83 : 4,602.17 = 1,219.13 : x
  2. Step 2: Convert to fraction form
    3,067.83/4,602.17 = 1,219.13/x
  3. Step 3: Cross multiply
    3,067.83x = 4,602.17 × 1,219.13
  4. Step 4: Simplify right side
    3,067.83x = 5,610,614.41
  5. Step 5: Solve for x
    x = 5,610,614.41/3,067.83
  6. Step 6: Final answer
    x = 1,828.85

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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.