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Finding the Fourth Proportional to 2,384.12, 3,574.73 and 1,067.63

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Solution

The fourth proportional to 2,384.12, 3,574.73 and 1,067.63 is: 1,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.12 : 3,574.73 = 1,067.63 : x
  2. Step 2: Convert to fraction form
    2,384.12/3,574.73 = 1,067.63/x
  3. Step 3: Cross multiply
    2,384.12x = 3,574.73 × 1,067.63
  4. Step 4: Simplify right side
    2,384.12x = 3,816,488.99
  5. Step 5: Solve for x
    x = 3,816,488.99/2,384.12
  6. Step 6: Final answer
    x = 1,600.80

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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.