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Finding the Fourth Proportional to 1,616, 2,422.71 and 641.84

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Solution

The fourth proportional to 1,616, 2,422.71 and 641.84 is: 962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616 : 2,422.71 = 641.84 : x
  2. Step 2: Convert to fraction form
    1,616/2,422.71 = 641.84/x
  3. Step 3: Cross multiply
    1,616x = 2,422.71 × 641.84
  4. Step 4: Simplify right side
    1,616x = 1,554,992.19
  5. Step 5: Solve for x
    x = 1,554,992.19/1,616
  6. Step 6: Final answer
    x = 962.25

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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.