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Finding the Fourth Proportional to 2,491.32, 3,727.75 and 1,833.68

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Solution

The fourth proportional to 2,491.32, 3,727.75 and 1,833.68 is: 2,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.32 : 3,727.75 = 1,833.68 : x
  2. Step 2: Convert to fraction form
    2,491.32/3,727.75 = 1,833.68/x
  3. Step 3: Cross multiply
    2,491.32x = 3,727.75 × 1,833.68
  4. Step 4: Simplify right side
    2,491.32x = 6,835,500.62
  5. Step 5: Solve for x
    x = 6,835,500.62/2,491.32
  6. Step 6: Final answer
    x = 2,743.73

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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.