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Finding the Fourth Proportional to 2,726.91, 4,091.10 and 779.13

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Solution

The fourth proportional to 2,726.91, 4,091.10 and 779.13 is: 1,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.91 : 4,091.10 = 779.13 : x
  2. Step 2: Convert to fraction form
    2,726.91/4,091.10 = 779.13/x
  3. Step 3: Cross multiply
    2,726.91x = 4,091.10 × 779.13
  4. Step 4: Simplify right side
    2,726.91x = 3,187,498.74
  5. Step 5: Solve for x
    x = 3,187,498.74/2,726.91
  6. Step 6: Final answer
    x = 1,168.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.