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Finding the Fourth Proportional to 2,069.69, 3,104.73 and 682.46

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Solution

The fourth proportional to 2,069.69, 3,104.73 and 682.46 is: 1,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.69 : 3,104.73 = 682.46 : x
  2. Step 2: Convert to fraction form
    2,069.69/3,104.73 = 682.46/x
  3. Step 3: Cross multiply
    2,069.69x = 3,104.73 × 682.46
  4. Step 4: Simplify right side
    2,069.69x = 2,118,838.51
  5. Step 5: Solve for x
    x = 2,118,838.51/2,069.69
  6. Step 6: Final answer
    x = 1,023.75

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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.