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Finding the Fourth Proportional to 2,761.70, 3,811.21 and 1,699.07

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Solution

The fourth proportional to 2,761.70, 3,811.21 and 1,699.07 is: 2,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.70 : 3,811.21 = 1,699.07 : x
  2. Step 2: Convert to fraction form
    2,761.70/3,811.21 = 1,699.07/x
  3. Step 3: Cross multiply
    2,761.70x = 3,811.21 × 1,699.07
  4. Step 4: Simplify right side
    2,761.70x = 6,475,489.27
  5. Step 5: Solve for x
    x = 6,475,489.27/2,761.70
  6. Step 6: Final answer
    x = 2,344.75

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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.