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Finding the Fourth Proportional to 2,687.25, 3,709.98 and 1,693.38

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Solution

The fourth proportional to 2,687.25, 3,709.98 and 1,693.38 is: 2,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.25 : 3,709.98 = 1,693.38 : x
  2. Step 2: Convert to fraction form
    2,687.25/3,709.98 = 1,693.38/x
  3. Step 3: Cross multiply
    2,687.25x = 3,709.98 × 1,693.38
  4. Step 4: Simplify right side
    2,687.25x = 6,282,405.93
  5. Step 5: Solve for x
    x = 6,282,405.93/2,687.25
  6. Step 6: Final answer
    x = 2,337.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.