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Finding the Fourth Proportional to 1,934.92, 2,899.86 and 779.32

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Solution

The fourth proportional to 1,934.92, 2,899.86 and 779.32 is: 1,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.92 : 2,899.86 = 779.32 : x
  2. Step 2: Convert to fraction form
    1,934.92/2,899.86 = 779.32/x
  3. Step 3: Cross multiply
    1,934.92x = 2,899.86 × 779.32
  4. Step 4: Simplify right side
    1,934.92x = 2,259,918.90
  5. Step 5: Solve for x
    x = 2,259,918.90/1,934.92
  6. Step 6: Final answer
    x = 1,167.97

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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.