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Finding the Fourth Proportional to 2,007.52, 3,023.32 and 1,766.68

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Solution

The fourth proportional to 2,007.52, 3,023.32 and 1,766.68 is: 2,660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.52 : 3,023.32 = 1,766.68 : x
  2. Step 2: Convert to fraction form
    2,007.52/3,023.32 = 1,766.68/x
  3. Step 3: Cross multiply
    2,007.52x = 3,023.32 × 1,766.68
  4. Step 4: Simplify right side
    2,007.52x = 5,341,238.98
  5. Step 5: Solve for x
    x = 5,341,238.98/2,007.52
  6. Step 6: Final answer
    x = 2,660.62

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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.