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Finding the Fourth Proportional to 2,243.01, 3,364.67 and 599.52

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Solution

The fourth proportional to 2,243.01, 3,364.67 and 599.52 is: 899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.01 : 3,364.67 = 599.52 : x
  2. Step 2: Convert to fraction form
    2,243.01/3,364.67 = 599.52/x
  3. Step 3: Cross multiply
    2,243.01x = 3,364.67 × 599.52
  4. Step 4: Simplify right side
    2,243.01x = 2,017,183.96
  5. Step 5: Solve for x
    x = 2,017,183.96/2,243.01
  6. Step 6: Final answer
    x = 899.32

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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.