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Finding the Fourth Proportional to 2,156.81, 3,234.92 and 695.78

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Solution

The fourth proportional to 2,156.81, 3,234.92 and 695.78 is: 1,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.81 : 3,234.92 = 695.78 : x
  2. Step 2: Convert to fraction form
    2,156.81/3,234.92 = 695.78/x
  3. Step 3: Cross multiply
    2,156.81x = 3,234.92 × 695.78
  4. Step 4: Simplify right side
    2,156.81x = 2,250,772.98
  5. Step 5: Solve for x
    x = 2,250,772.98/2,156.81
  6. Step 6: Final answer
    x = 1,043.57

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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.