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Finding the Fourth Proportional to 1,893.24, 2,839.65 and 660.67

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Solution

The fourth proportional to 1,893.24, 2,839.65 and 660.67 is: 990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.24 : 2,839.65 = 660.67 : x
  2. Step 2: Convert to fraction form
    1,893.24/2,839.65 = 660.67/x
  3. Step 3: Cross multiply
    1,893.24x = 2,839.65 × 660.67
  4. Step 4: Simplify right side
    1,893.24x = 1,876,067.13
  5. Step 5: Solve for x
    x = 1,876,067.13/1,893.24
  6. Step 6: Final answer
    x = 990.93

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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.