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Finding the Fourth Proportional to 2,541.87, 3,812.81 and 1,759.41

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Solution

The fourth proportional to 2,541.87, 3,812.81 and 1,759.41 is: 2,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.87 : 3,812.81 = 1,759.41 : x
  2. Step 2: Convert to fraction form
    2,541.87/3,812.81 = 1,759.41/x
  3. Step 3: Cross multiply
    2,541.87x = 3,812.81 × 1,759.41
  4. Step 4: Simplify right side
    2,541.87x = 6,708,287.25
  5. Step 5: Solve for x
    x = 6,708,287.25/2,541.87
  6. Step 6: Final answer
    x = 2,639.12

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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.