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Finding the Fourth Proportional to 2,696.34, 3,723.93 and 2,659.92

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Solution

The fourth proportional to 2,696.34, 3,723.93 and 2,659.92 is: 3,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.34 : 3,723.93 = 2,659.92 : x
  2. Step 2: Convert to fraction form
    2,696.34/3,723.93 = 2,659.92/x
  3. Step 3: Cross multiply
    2,696.34x = 3,723.93 × 2,659.92
  4. Step 4: Simplify right side
    2,696.34x = 9,905,355.89
  5. Step 5: Solve for x
    x = 9,905,355.89/2,696.34
  6. Step 6: Final answer
    x = 3,673.63

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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.