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Finding the Fourth Proportional to 2,399.14, 3,599.22 and 1,359.62

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Solution

The fourth proportional to 2,399.14, 3,599.22 and 1,359.62 is: 2,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.14 : 3,599.22 = 1,359.62 : x
  2. Step 2: Convert to fraction form
    2,399.14/3,599.22 = 1,359.62/x
  3. Step 3: Cross multiply
    2,399.14x = 3,599.22 × 1,359.62
  4. Step 4: Simplify right side
    2,399.14x = 4,893,571.50
  5. Step 5: Solve for x
    x = 4,893,571.50/2,399.14
  6. Step 6: Final answer
    x = 2,039.72

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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.