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Finding the Fourth Proportional to 2,768.31, 3,821.04 and 1,589.76

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Solution

The fourth proportional to 2,768.31, 3,821.04 and 1,589.76 is: 2,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.31 : 3,821.04 = 1,589.76 : x
  2. Step 2: Convert to fraction form
    2,768.31/3,821.04 = 1,589.76/x
  3. Step 3: Cross multiply
    2,768.31x = 3,821.04 × 1,589.76
  4. Step 4: Simplify right side
    2,768.31x = 6,074,536.55
  5. Step 5: Solve for x
    x = 6,074,536.55/2,768.31
  6. Step 6: Final answer
    x = 2,194.31

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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.