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Finding the Fourth Proportional to 2,696.86, 4,021.10 and 2,647.66

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Solution

The fourth proportional to 2,696.86, 4,021.10 and 2,647.66 is: 3,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.86 : 4,021.10 = 2,647.66 : x
  2. Step 2: Convert to fraction form
    2,696.86/4,021.10 = 2,647.66/x
  3. Step 3: Cross multiply
    2,696.86x = 4,021.10 × 2,647.66
  4. Step 4: Simplify right side
    2,696.86x = 10,646,505.63
  5. Step 5: Solve for x
    x = 10,646,505.63/2,696.86
  6. Step 6: Final answer
    x = 3,947.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.