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Finding the Fourth Proportional to 1,833.91, 2,748.56 and 737.66

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Solution

The fourth proportional to 1,833.91, 2,748.56 and 737.66 is: 1,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.91 : 2,748.56 = 737.66 : x
  2. Step 2: Convert to fraction form
    1,833.91/2,748.56 = 737.66/x
  3. Step 3: Cross multiply
    1,833.91x = 2,748.56 × 737.66
  4. Step 4: Simplify right side
    1,833.91x = 2,027,505.95
  5. Step 5: Solve for x
    x = 2,027,505.95/1,833.91
  6. Step 6: Final answer
    x = 1,105.57

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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.