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Finding the Fourth Proportional to 2,726.35, 4,088.29 and 778.09

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Solution

The fourth proportional to 2,726.35, 4,088.29 and 778.09 is: 1,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.35 : 4,088.29 = 778.09 : x
  2. Step 2: Convert to fraction form
    2,726.35/4,088.29 = 778.09/x
  3. Step 3: Cross multiply
    2,726.35x = 4,088.29 × 778.09
  4. Step 4: Simplify right side
    2,726.35x = 3,181,057.57
  5. Step 5: Solve for x
    x = 3,181,057.57/2,726.35
  6. Step 6: Final answer
    x = 1,166.78

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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.