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Finding the Fourth Proportional to 2,234.25, 3,351.56 and 695.25

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Solution

The fourth proportional to 2,234.25, 3,351.56 and 695.25 is: 1,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.25 : 3,351.56 = 695.25 : x
  2. Step 2: Convert to fraction form
    2,234.25/3,351.56 = 695.25/x
  3. Step 3: Cross multiply
    2,234.25x = 3,351.56 × 695.25
  4. Step 4: Simplify right side
    2,234.25x = 2,330,168.61
  5. Step 5: Solve for x
    x = 2,330,168.61/2,234.25
  6. Step 6: Final answer
    x = 1,042.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.