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Finding the Fourth Proportional to 2,069.31, 3,102.78 and 682.27

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Solution

The fourth proportional to 2,069.31, 3,102.78 and 682.27 is: 1,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.31 : 3,102.78 = 682.27 : x
  2. Step 2: Convert to fraction form
    2,069.31/3,102.78 = 682.27/x
  3. Step 3: Cross multiply
    2,069.31x = 3,102.78 × 682.27
  4. Step 4: Simplify right side
    2,069.31x = 2,116,928.51
  5. Step 5: Solve for x
    x = 2,116,928.51/2,069.31
  6. Step 6: Final answer
    x = 1,023.01

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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.