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Finding the Fourth Proportional to 2,694.09, 3,716.10 and 1,697.61

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Solution

The fourth proportional to 2,694.09, 3,716.10 and 1,697.61 is: 2,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.09 : 3,716.10 = 1,697.61 : x
  2. Step 2: Convert to fraction form
    2,694.09/3,716.10 = 1,697.61/x
  3. Step 3: Cross multiply
    2,694.09x = 3,716.10 × 1,697.61
  4. Step 4: Simplify right side
    2,694.09x = 6,308,488.52
  5. Step 5: Solve for x
    x = 6,308,488.52/2,694.09
  6. Step 6: Final answer
    x = 2,341.60

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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.