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Finding the Fourth Proportional to 3,229, 4,456.02 and 1,757

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Solution

The fourth proportional to 3,229, 4,456.02 and 1,757 is: 2,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229 : 4,456.02 = 1,757 : x
  2. Step 2: Convert to fraction form
    3,229/4,456.02 = 1,757/x
  3. Step 3: Cross multiply
    3,229x = 4,456.02 × 1,757
  4. Step 4: Simplify right side
    3,229x = 7,829,227.14
  5. Step 5: Solve for x
    x = 7,829,227.14/3,229
  6. Step 6: Final answer
    x = 2,424.66

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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.