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Finding the Fourth Proportional to 2,108.98, 3,163.20 and 648.01

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Solution

The fourth proportional to 2,108.98, 3,163.20 and 648.01 is: 971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.98 : 3,163.20 = 648.01 : x
  2. Step 2: Convert to fraction form
    2,108.98/3,163.20 = 648.01/x
  3. Step 3: Cross multiply
    2,108.98x = 3,163.20 × 648.01
  4. Step 4: Simplify right side
    2,108.98x = 2,049,786.76
  5. Step 5: Solve for x
    x = 2,049,786.76/2,108.98
  6. Step 6: Final answer
    x = 971.93

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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.