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Finding the Fourth Proportional to 2,632.52, 3,635.61 and 2,003.06

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Solution

The fourth proportional to 2,632.52, 3,635.61 and 2,003.06 is: 2,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.52 : 3,635.61 = 2,003.06 : x
  2. Step 2: Convert to fraction form
    2,632.52/3,635.61 = 2,003.06/x
  3. Step 3: Cross multiply
    2,632.52x = 3,635.61 × 2,003.06
  4. Step 4: Simplify right side
    2,632.52x = 7,282,344.97
  5. Step 5: Solve for x
    x = 7,282,344.97/2,632.52
  6. Step 6: Final answer
    x = 2,766.30

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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.