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Finding the Fourth Proportional to 2,069.27, 3,103.24 and 682.35

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Solution

The fourth proportional to 2,069.27, 3,103.24 and 682.35 is: 1,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.27 : 3,103.24 = 682.35 : x
  2. Step 2: Convert to fraction form
    2,069.27/3,103.24 = 682.35/x
  3. Step 3: Cross multiply
    2,069.27x = 3,103.24 × 682.35
  4. Step 4: Simplify right side
    2,069.27x = 2,117,495.81
  5. Step 5: Solve for x
    x = 2,117,495.81/2,069.27
  6. Step 6: Final answer
    x = 1,023.31

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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.