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Finding the Fourth Proportional to 2,090.81, 3,133.89 and 1,268.87

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Solution

The fourth proportional to 2,090.81, 3,133.89 and 1,268.87 is: 1,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.81 : 3,133.89 = 1,268.87 : x
  2. Step 2: Convert to fraction form
    2,090.81/3,133.89 = 1,268.87/x
  3. Step 3: Cross multiply
    2,090.81x = 3,133.89 × 1,268.87
  4. Step 4: Simplify right side
    2,090.81x = 3,976,483.33
  5. Step 5: Solve for x
    x = 3,976,483.33/2,090.81
  6. Step 6: Final answer
    x = 1,901.88

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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.