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Finding the Fourth Proportional to 2,243.44, 3,365.14 and 599.94

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Solution

The fourth proportional to 2,243.44, 3,365.14 and 599.94 is: 899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.44 : 3,365.14 = 599.94 : x
  2. Step 2: Convert to fraction form
    2,243.44/3,365.14 = 599.94/x
  3. Step 3: Cross multiply
    2,243.44x = 3,365.14 × 599.94
  4. Step 4: Simplify right side
    2,243.44x = 2,018,882.09
  5. Step 5: Solve for x
    x = 2,018,882.09/2,243.44
  6. Step 6: Final answer
    x = 899.90

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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.