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Finding the Fourth Proportional to 2,726.84, 4,090.25 and 779.04

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Solution

The fourth proportional to 2,726.84, 4,090.25 and 779.04 is: 1,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.84 : 4,090.25 = 779.04 : x
  2. Step 2: Convert to fraction form
    2,726.84/4,090.25 = 779.04/x
  3. Step 3: Cross multiply
    2,726.84x = 4,090.25 × 779.04
  4. Step 4: Simplify right side
    2,726.84x = 3,186,470.31
  5. Step 5: Solve for x
    x = 3,186,470.31/2,726.84
  6. Step 6: Final answer
    x = 1,168.56

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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.