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Finding the Fourth Proportional to 2,243.35, 3,365.19 and 599.86

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Solution

The fourth proportional to 2,243.35, 3,365.19 and 599.86 is: 899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.35 : 3,365.19 = 599.86 : x
  2. Step 2: Convert to fraction form
    2,243.35/3,365.19 = 599.86/x
  3. Step 3: Cross multiply
    2,243.35x = 3,365.19 × 599.86
  4. Step 4: Simplify right side
    2,243.35x = 2,018,642.87
  5. Step 5: Solve for x
    x = 2,018,642.87/2,243.35
  6. Step 6: Final answer
    x = 899.83

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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.