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Finding the Fourth Proportional to 2,168.90, 2,993.47 and 1,285.14

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Solution

The fourth proportional to 2,168.90, 2,993.47 and 1,285.14 is: 1,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.90 : 2,993.47 = 1,285.14 : x
  2. Step 2: Convert to fraction form
    2,168.90/2,993.47 = 1,285.14/x
  3. Step 3: Cross multiply
    2,168.90x = 2,993.47 × 1,285.14
  4. Step 4: Simplify right side
    2,168.90x = 3,847,028.04
  5. Step 5: Solve for x
    x = 3,847,028.04/2,168.90
  6. Step 6: Final answer
    x = 1,773.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.