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Finding the Fourth Proportional to 2,156.68, 3,234.20 and 695.44

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Solution

The fourth proportional to 2,156.68, 3,234.20 and 695.44 is: 1,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.68 : 3,234.20 = 695.44 : x
  2. Step 2: Convert to fraction form
    2,156.68/3,234.20 = 695.44/x
  3. Step 3: Cross multiply
    2,156.68x = 3,234.20 × 695.44
  4. Step 4: Simplify right side
    2,156.68x = 2,249,185.70
  5. Step 5: Solve for x
    x = 2,249,185.70/2,156.68
  6. Step 6: Final answer
    x = 1,042.89

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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.