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Finding the Fourth Proportional to 2,726.19, 3,765.29 and 1,983.47

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Solution

The fourth proportional to 2,726.19, 3,765.29 and 1,983.47 is: 2,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.19 : 3,765.29 = 1,983.47 : x
  2. Step 2: Convert to fraction form
    2,726.19/3,765.29 = 1,983.47/x
  3. Step 3: Cross multiply
    2,726.19x = 3,765.29 × 1,983.47
  4. Step 4: Simplify right side
    2,726.19x = 7,468,311.01
  5. Step 5: Solve for x
    x = 7,468,311.01/2,726.19
  6. Step 6: Final answer
    x = 2,739.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.