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Finding the Fourth Proportional to 2,133.84, 3,199.14 and 1,268.76

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Solution

The fourth proportional to 2,133.84, 3,199.14 and 1,268.76 is: 1,902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.84 : 3,199.14 = 1,268.76 : x
  2. Step 2: Convert to fraction form
    2,133.84/3,199.14 = 1,268.76/x
  3. Step 3: Cross multiply
    2,133.84x = 3,199.14 × 1,268.76
  4. Step 4: Simplify right side
    2,133.84x = 4,058,940.87
  5. Step 5: Solve for x
    x = 4,058,940.87/2,133.84
  6. Step 6: Final answer
    x = 1,902.18

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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.