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Finding the Fourth Proportional to 2,168.05, 2,993.20 and 1,423.31

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Solution

The fourth proportional to 2,168.05, 2,993.20 and 1,423.31 is: 1,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.05 : 2,993.20 = 1,423.31 : x
  2. Step 2: Convert to fraction form
    2,168.05/2,993.20 = 1,423.31/x
  3. Step 3: Cross multiply
    2,168.05x = 2,993.20 × 1,423.31
  4. Step 4: Simplify right side
    2,168.05x = 4,260,264.50
  5. Step 5: Solve for x
    x = 4,260,264.50/2,168.05
  6. Step 6: Final answer
    x = 1,965.02

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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.