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Finding the Fourth Proportional to 1,789.05, 2,682.69 and 748.74

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Solution

The fourth proportional to 1,789.05, 2,682.69 and 748.74 is: 1,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.05 : 2,682.69 = 748.74 : x
  2. Step 2: Convert to fraction form
    1,789.05/2,682.69 = 748.74/x
  3. Step 3: Cross multiply
    1,789.05x = 2,682.69 × 748.74
  4. Step 4: Simplify right side
    1,789.05x = 2,008,637.31
  5. Step 5: Solve for x
    x = 2,008,637.31/1,789.05
  6. Step 6: Final answer
    x = 1,122.74

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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.