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Finding the Fourth Proportional to 2,491.51, 3,736.83 and 759.73

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Solution

The fourth proportional to 2,491.51, 3,736.83 and 759.73 is: 1,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.51 : 3,736.83 = 759.73 : x
  2. Step 2: Convert to fraction form
    2,491.51/3,736.83 = 759.73/x
  3. Step 3: Cross multiply
    2,491.51x = 3,736.83 × 759.73
  4. Step 4: Simplify right side
    2,491.51x = 2,838,981.86
  5. Step 5: Solve for x
    x = 2,838,981.86/2,491.51
  6. Step 6: Final answer
    x = 1,139.46

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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.