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Finding the Fourth Proportional to 2,712.94, 4,067.94 and 933.52

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Solution

The fourth proportional to 2,712.94, 4,067.94 and 933.52 is: 1,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.94 : 4,067.94 = 933.52 : x
  2. Step 2: Convert to fraction form
    2,712.94/4,067.94 = 933.52/x
  3. Step 3: Cross multiply
    2,712.94x = 4,067.94 × 933.52
  4. Step 4: Simplify right side
    2,712.94x = 3,797,503.35
  5. Step 5: Solve for x
    x = 3,797,503.35/2,712.94
  6. Step 6: Final answer
    x = 1,399.77

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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.