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Finding the Fourth Proportional to 2,761.28, 3,811.42 and 1,699.37

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Solution

The fourth proportional to 2,761.28, 3,811.42 and 1,699.37 is: 2,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.28 : 3,811.42 = 1,699.37 : x
  2. Step 2: Convert to fraction form
    2,761.28/3,811.42 = 1,699.37/x
  3. Step 3: Cross multiply
    2,761.28x = 3,811.42 × 1,699.37
  4. Step 4: Simplify right side
    2,761.28x = 6,476,989.50
  5. Step 5: Solve for x
    x = 6,476,989.50/2,761.28
  6. Step 6: Final answer
    x = 2,345.65

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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.