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Finding the Fourth Proportional to 2,688.11, 3,712.04 and 2,023.81

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Solution

The fourth proportional to 2,688.11, 3,712.04 and 2,023.81 is: 2,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.11 : 3,712.04 = 2,023.81 : x
  2. Step 2: Convert to fraction form
    2,688.11/3,712.04 = 2,023.81/x
  3. Step 3: Cross multiply
    2,688.11x = 3,712.04 × 2,023.81
  4. Step 4: Simplify right side
    2,688.11x = 7,512,451.86
  5. Step 5: Solve for x
    x = 7,512,451.86/2,688.11
  6. Step 6: Final answer
    x = 2,794.70

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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.