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Finding the Fourth Proportional to 2,172.39, 2,997.90 and 1,288.62

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Solution

The fourth proportional to 2,172.39, 2,997.90 and 1,288.62 is: 1,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.39 : 2,997.90 = 1,288.62 : x
  2. Step 2: Convert to fraction form
    2,172.39/2,997.90 = 1,288.62/x
  3. Step 3: Cross multiply
    2,172.39x = 2,997.90 × 1,288.62
  4. Step 4: Simplify right side
    2,172.39x = 3,863,153.90
  5. Step 5: Solve for x
    x = 3,863,153.90/2,172.39
  6. Step 6: Final answer
    x = 1,778.30

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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.