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Finding the Fourth Proportional to 2,726.35, 4,086.03 and 1,164.49

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Solution

The fourth proportional to 2,726.35, 4,086.03 and 1,164.49 is: 1,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.35 : 4,086.03 = 1,164.49 : x
  2. Step 2: Convert to fraction form
    2,726.35/4,086.03 = 1,164.49/x
  3. Step 3: Cross multiply
    2,726.35x = 4,086.03 × 1,164.49
  4. Step 4: Simplify right side
    2,726.35x = 4,758,141.07
  5. Step 5: Solve for x
    x = 4,758,141.07/2,726.35
  6. Step 6: Final answer
    x = 1,745.24

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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.