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Finding the Fourth Proportional to 2,233.86, 3,350.81 and 590.64

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Solution

The fourth proportional to 2,233.86, 3,350.81 and 590.64 is: 885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.86 : 3,350.81 = 590.64 : x
  2. Step 2: Convert to fraction form
    2,233.86/3,350.81 = 590.64/x
  3. Step 3: Cross multiply
    2,233.86x = 3,350.81 × 590.64
  4. Step 4: Simplify right side
    2,233.86x = 1,979,122.42
  5. Step 5: Solve for x
    x = 1,979,122.42/2,233.86
  6. Step 6: Final answer
    x = 885.97

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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.