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Finding the Fourth Proportional to 1,694.94, 2,541.56 and 599.15

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Solution

The fourth proportional to 1,694.94, 2,541.56 and 599.15 is: 898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.94 : 2,541.56 = 599.15 : x
  2. Step 2: Convert to fraction form
    1,694.94/2,541.56 = 599.15/x
  3. Step 3: Cross multiply
    1,694.94x = 2,541.56 × 599.15
  4. Step 4: Simplify right side
    1,694.94x = 1,522,759.97
  5. Step 5: Solve for x
    x = 1,522,759.97/1,694.94
  6. Step 6: Final answer
    x = 898.42

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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.