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Finding the Fourth Proportional to 2,168.28, 2,991.48 and 1,223.95

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Solution

The fourth proportional to 2,168.28, 2,991.48 and 1,223.95 is: 1,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.28 : 2,991.48 = 1,223.95 : x
  2. Step 2: Convert to fraction form
    2,168.28/2,991.48 = 1,223.95/x
  3. Step 3: Cross multiply
    2,168.28x = 2,991.48 × 1,223.95
  4. Step 4: Simplify right side
    2,168.28x = 3,661,421.95
  5. Step 5: Solve for x
    x = 3,661,421.95/2,168.28
  6. Step 6: Final answer
    x = 1,688.63

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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.