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Finding the Fourth Proportional to 2,234.49, 3,351.72 and 568.62

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Solution

The fourth proportional to 2,234.49, 3,351.72 and 568.62 is: 852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.49 : 3,351.72 = 568.62 : x
  2. Step 2: Convert to fraction form
    2,234.49/3,351.72 = 568.62/x
  3. Step 3: Cross multiply
    2,234.49x = 3,351.72 × 568.62
  4. Step 4: Simplify right side
    2,234.49x = 1,905,855.03
  5. Step 5: Solve for x
    x = 1,905,855.03/2,234.49
  6. Step 6: Final answer
    x = 852.93

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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.