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Finding the Fourth Proportional to 2,696.59, 3,721.76 and 1,992.10

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Solution

The fourth proportional to 2,696.59, 3,721.76 and 1,992.10 is: 2,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.59 : 3,721.76 = 1,992.10 : x
  2. Step 2: Convert to fraction form
    2,696.59/3,721.76 = 1,992.10/x
  3. Step 3: Cross multiply
    2,696.59x = 3,721.76 × 1,992.10
  4. Step 4: Simplify right side
    2,696.59x = 7,414,118.10
  5. Step 5: Solve for x
    x = 7,414,118.10/2,696.59
  6. Step 6: Final answer
    x = 2,749.44

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