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Finding the Fourth Proportional to 2,667.96, 3,680.12 and 1,920.74

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Solution

The fourth proportional to 2,667.96, 3,680.12 and 1,920.74 is: 2,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.96 : 3,680.12 = 1,920.74 : x
  2. Step 2: Convert to fraction form
    2,667.96/3,680.12 = 1,920.74/x
  3. Step 3: Cross multiply
    2,667.96x = 3,680.12 × 1,920.74
  4. Step 4: Simplify right side
    2,667.96x = 7,068,525.68
  5. Step 5: Solve for x
    x = 7,068,525.68/2,667.96
  6. Step 6: Final answer
    x = 2,649.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.