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Finding the Fourth Proportional to 2,768.31, 3,820.20 and 1,589.28

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Solution

The fourth proportional to 2,768.31, 3,820.20 and 1,589.28 is: 2,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.31 : 3,820.20 = 1,589.28 : x
  2. Step 2: Convert to fraction form
    2,768.31/3,820.20 = 1,589.28/x
  3. Step 3: Cross multiply
    2,768.31x = 3,820.20 × 1,589.28
  4. Step 4: Simplify right side
    2,768.31x = 6,071,367.46
  5. Step 5: Solve for x
    x = 6,071,367.46/2,768.31
  6. Step 6: Final answer
    x = 2,193.17

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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.