Home / 1,694.46-2,541.78-599.34

Finding the Fourth Proportional to 1,694.46, 2,541.78 and 599.34

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Solution

The fourth proportional to 1,694.46, 2,541.78 and 599.34 is: 899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.46 : 2,541.78 = 599.34 : x
  2. Step 2: Convert to fraction form
    1,694.46/2,541.78 = 599.34/x
  3. Step 3: Cross multiply
    1,694.46x = 2,541.78 × 599.34
  4. Step 4: Simplify right side
    1,694.46x = 1,523,390.43
  5. Step 5: Solve for x
    x = 1,523,390.43/1,694.46
  6. Step 6: Final answer
    x = 899.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.