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Finding the Fourth Proportional to 2,243.21, 3,364.83 and 599.99

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Solution

The fourth proportional to 2,243.21, 3,364.83 and 599.99 is: 899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.21 : 3,364.83 = 599.99 : x
  2. Step 2: Convert to fraction form
    2,243.21/3,364.83 = 599.99/x
  3. Step 3: Cross multiply
    2,243.21x = 3,364.83 × 599.99
  4. Step 4: Simplify right side
    2,243.21x = 2,018,864.35
  5. Step 5: Solve for x
    x = 2,018,864.35/2,243.21
  6. Step 6: Final answer
    x = 899.99

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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.