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Finding the Fourth Proportional to 2,399.62, 3,599.56 and 756.29

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Solution

The fourth proportional to 2,399.62, 3,599.56 and 756.29 is: 1,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.62 : 3,599.56 = 756.29 : x
  2. Step 2: Convert to fraction form
    2,399.62/3,599.56 = 756.29/x
  3. Step 3: Cross multiply
    2,399.62x = 3,599.56 × 756.29
  4. Step 4: Simplify right side
    2,399.62x = 2,722,316.45
  5. Step 5: Solve for x
    x = 2,722,316.45/2,399.62
  6. Step 6: Final answer
    x = 1,134.48

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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.