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Finding the Fourth Proportional to 2,172.17, 3,257.91 and 612

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Solution

The fourth proportional to 2,172.17, 3,257.91 and 612 is: 917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.17 : 3,257.91 = 612 : x
  2. Step 2: Convert to fraction form
    2,172.17/3,257.91 = 612/x
  3. Step 3: Cross multiply
    2,172.17x = 3,257.91 × 612
  4. Step 4: Simplify right side
    2,172.17x = 1,993,840.92
  5. Step 5: Solve for x
    x = 1,993,840.92/2,172.17
  6. Step 6: Final answer
    x = 917.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.