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Finding the Fourth Proportional to 2,234.02, 3,351.60 and 695.02

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Solution

The fourth proportional to 2,234.02, 3,351.60 and 695.02 is: 1,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.02 : 3,351.60 = 695.02 : x
  2. Step 2: Convert to fraction form
    2,234.02/3,351.60 = 695.02/x
  3. Step 3: Cross multiply
    2,234.02x = 3,351.60 × 695.02
  4. Step 4: Simplify right side
    2,234.02x = 2,329,429.03
  5. Step 5: Solve for x
    x = 2,329,429.03/2,234.02
  6. Step 6: Final answer
    x = 1,042.71

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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.