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Finding the Fourth Proportional to 2,086.66, 3,129.81 and 1,264.69

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Solution

The fourth proportional to 2,086.66, 3,129.81 and 1,264.69 is: 1,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.66 : 3,129.81 = 1,264.69 : x
  2. Step 2: Convert to fraction form
    2,086.66/3,129.81 = 1,264.69/x
  3. Step 3: Cross multiply
    2,086.66x = 3,129.81 × 1,264.69
  4. Step 4: Simplify right side
    2,086.66x = 3,958,239.41
  5. Step 5: Solve for x
    x = 3,958,239.41/2,086.66
  6. Step 6: Final answer
    x = 1,896.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.