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Finding the Fourth Proportional to 2,696.39, 3,722.00 and 2,034.82

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Solution

The fourth proportional to 2,696.39, 3,722.00 and 2,034.82 is: 2,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.39 : 3,722.00 = 2,034.82 : x
  2. Step 2: Convert to fraction form
    2,696.39/3,722.00 = 2,034.82/x
  3. Step 3: Cross multiply
    2,696.39x = 3,722.00 × 2,034.82
  4. Step 4: Simplify right side
    2,696.39x = 7,573,605.96
  5. Step 5: Solve for x
    x = 7,573,605.96/2,696.39
  6. Step 6: Final answer
    x = 2,808.80

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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.