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Finding the Fourth Proportional to 2,069.18, 3,102.60 and 682.14

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Solution

The fourth proportional to 2,069.18, 3,102.60 and 682.14 is: 1,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.18 : 3,102.60 = 682.14 : x
  2. Step 2: Convert to fraction form
    2,069.18/3,102.60 = 682.14/x
  3. Step 3: Cross multiply
    2,069.18x = 3,102.60 × 682.14
  4. Step 4: Simplify right side
    2,069.18x = 2,116,407.56
  5. Step 5: Solve for x
    x = 2,116,407.56/2,069.18
  6. Step 6: Final answer
    x = 1,022.82

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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.