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Finding the Fourth Proportional to 2,644.66, 3,966.17 and 2,123.43

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Solution

The fourth proportional to 2,644.66, 3,966.17 and 2,123.43 is: 3,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.66 : 3,966.17 = 2,123.43 : x
  2. Step 2: Convert to fraction form
    2,644.66/3,966.17 = 2,123.43/x
  3. Step 3: Cross multiply
    2,644.66x = 3,966.17 × 2,123.43
  4. Step 4: Simplify right side
    2,644.66x = 8,421,884.36
  5. Step 5: Solve for x
    x = 8,421,884.36/2,644.66
  6. Step 6: Final answer
    x = 3,184.49

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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.