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Finding the Fourth Proportional to 1,732.66, 2,592.78 and 1,616.80

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Solution

The fourth proportional to 1,732.66, 2,592.78 and 1,616.80 is: 2,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.66 : 2,592.78 = 1,616.80 : x
  2. Step 2: Convert to fraction form
    1,732.66/2,592.78 = 1,616.80/x
  3. Step 3: Cross multiply
    1,732.66x = 2,592.78 × 1,616.80
  4. Step 4: Simplify right side
    1,732.66x = 4,192,006.70
  5. Step 5: Solve for x
    x = 4,192,006.70/1,732.66
  6. Step 6: Final answer
    x = 2,419.41

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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.