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Finding the Fourth Proportional to 2,243.26, 3,364.62 and 599.77

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Solution

The fourth proportional to 2,243.26, 3,364.62 and 599.77 is: 899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.26 : 3,364.62 = 599.77 : x
  2. Step 2: Convert to fraction form
    2,243.26/3,364.62 = 599.77/x
  3. Step 3: Cross multiply
    2,243.26x = 3,364.62 × 599.77
  4. Step 4: Simplify right side
    2,243.26x = 2,017,998.14
  5. Step 5: Solve for x
    x = 2,017,998.14/2,243.26
  6. Step 6: Final answer
    x = 899.58

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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.