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Finding the Fourth Proportional to 2,069.19, 3,103.56 and 682.07

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Solution

The fourth proportional to 2,069.19, 3,103.56 and 682.07 is: 1,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.19 : 3,103.56 = 682.07 : x
  2. Step 2: Convert to fraction form
    2,069.19/3,103.56 = 682.07/x
  3. Step 3: Cross multiply
    2,069.19x = 3,103.56 × 682.07
  4. Step 4: Simplify right side
    2,069.19x = 2,116,829.65
  5. Step 5: Solve for x
    x = 2,116,829.65/2,069.19
  6. Step 6: Final answer
    x = 1,023.02

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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.