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Finding the Fourth Proportional to 2,491.82, 3,728.50 and 1,834.18

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Solution

The fourth proportional to 2,491.82, 3,728.50 and 1,834.18 is: 2,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.82 : 3,728.50 = 1,834.18 : x
  2. Step 2: Convert to fraction form
    2,491.82/3,728.50 = 1,834.18/x
  3. Step 3: Cross multiply
    2,491.82x = 3,728.50 × 1,834.18
  4. Step 4: Simplify right side
    2,491.82x = 6,838,740.13
  5. Step 5: Solve for x
    x = 6,838,740.13/2,491.82
  6. Step 6: Final answer
    x = 2,744.48

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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.