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Finding the Fourth Proportional to 2,007.59, 2,766.96 and 1,633.77

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Solution

The fourth proportional to 2,007.59, 2,766.96 and 1,633.77 is: 2,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.59 : 2,766.96 = 1,633.77 : x
  2. Step 2: Convert to fraction form
    2,007.59/2,766.96 = 1,633.77/x
  3. Step 3: Cross multiply
    2,007.59x = 2,766.96 × 1,633.77
  4. Step 4: Simplify right side
    2,007.59x = 4,520,576.24
  5. Step 5: Solve for x
    x = 4,520,576.24/2,007.59
  6. Step 6: Final answer
    x = 2,251.75

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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.