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Finding the Fourth Proportional to 1,682.24, 2,522.97 and 641.87

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Solution

The fourth proportional to 1,682.24, 2,522.97 and 641.87 is: 962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.24 : 2,522.97 = 641.87 : x
  2. Step 2: Convert to fraction form
    1,682.24/2,522.97 = 641.87/x
  3. Step 3: Cross multiply
    1,682.24x = 2,522.97 × 641.87
  4. Step 4: Simplify right side
    1,682.24x = 1,619,418.75
  5. Step 5: Solve for x
    x = 1,619,418.75/1,682.24
  6. Step 6: Final answer
    x = 962.66

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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.