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Finding the Fourth Proportional to 2,005.92, 3,023.88 and 1,872.12

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Solution

The fourth proportional to 2,005.92, 3,023.88 and 1,872.12 is: 2,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.92 : 3,023.88 = 1,872.12 : x
  2. Step 2: Convert to fraction form
    2,005.92/3,023.88 = 1,872.12/x
  3. Step 3: Cross multiply
    2,005.92x = 3,023.88 × 1,872.12
  4. Step 4: Simplify right side
    2,005.92x = 5,661,066.23
  5. Step 5: Solve for x
    x = 5,661,066.23/2,005.92
  6. Step 6: Final answer
    x = 2,822.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.