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Finding the Fourth Proportional to 2,168.31, 2,991.44 and 1,328.74

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Solution

The fourth proportional to 2,168.31, 2,991.44 and 1,328.74 is: 1,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.31 : 2,991.44 = 1,328.74 : x
  2. Step 2: Convert to fraction form
    2,168.31/2,991.44 = 1,328.74/x
  3. Step 3: Cross multiply
    2,168.31x = 2,991.44 × 1,328.74
  4. Step 4: Simplify right side
    2,168.31x = 3,974,845.99
  5. Step 5: Solve for x
    x = 3,974,845.99/2,168.31
  6. Step 6: Final answer
    x = 1,833.15

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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.