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Finding the Fourth Proportional to 1,778.01, 2,667.12 and 682.47

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Solution

The fourth proportional to 1,778.01, 2,667.12 and 682.47 is: 1,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.01 : 2,667.12 = 682.47 : x
  2. Step 2: Convert to fraction form
    1,778.01/2,667.12 = 682.47/x
  3. Step 3: Cross multiply
    1,778.01x = 2,667.12 × 682.47
  4. Step 4: Simplify right side
    1,778.01x = 1,820,229.39
  5. Step 5: Solve for x
    x = 1,820,229.39/1,778.01
  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.