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Finding the Fourth Proportional to 1,939.71, 2,910.11 and 642.09

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Solution

The fourth proportional to 1,939.71, 2,910.11 and 642.09 is: 963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.71 : 2,910.11 = 642.09 : x
  2. Step 2: Convert to fraction form
    1,939.71/2,910.11 = 642.09/x
  3. Step 3: Cross multiply
    1,939.71x = 2,910.11 × 642.09
  4. Step 4: Simplify right side
    1,939.71x = 1,868,549.32
  5. Step 5: Solve for x
    x = 1,868,549.32/1,939.71
  6. Step 6: Final answer
    x = 963.31

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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.