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Finding the Fourth Proportional to 2,331.31, 3,496.97 and 599.94

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Solution

The fourth proportional to 2,331.31, 3,496.97 and 599.94 is: 899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.31 : 3,496.97 = 599.94 : x
  2. Step 2: Convert to fraction form
    2,331.31/3,496.97 = 599.94/x
  3. Step 3: Cross multiply
    2,331.31x = 3,496.97 × 599.94
  4. Step 4: Simplify right side
    2,331.31x = 2,097,972.18
  5. Step 5: Solve for x
    x = 2,097,972.18/2,331.31
  6. Step 6: Final answer
    x = 899.91

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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.