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Finding the Fourth Proportional to 2,233.32, 3,349.91 and 589.88

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Solution

The fourth proportional to 2,233.32, 3,349.91 and 589.88 is: 884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.32 : 3,349.91 = 589.88 : x
  2. Step 2: Convert to fraction form
    2,233.32/3,349.91 = 589.88/x
  3. Step 3: Cross multiply
    2,233.32x = 3,349.91 × 589.88
  4. Step 4: Simplify right side
    2,233.32x = 1,976,033.98
  5. Step 5: Solve for x
    x = 1,976,033.98/2,233.32
  6. Step 6: Final answer
    x = 884.80

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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.