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Finding the Fourth Proportional to 2,007.50, 2,770.23 and 1,168.07

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Solution

The fourth proportional to 2,007.50, 2,770.23 and 1,168.07 is: 1,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.50 : 2,770.23 = 1,168.07 : x
  2. Step 2: Convert to fraction form
    2,007.50/2,770.23 = 1,168.07/x
  3. Step 3: Cross multiply
    2,007.50x = 2,770.23 × 1,168.07
  4. Step 4: Simplify right side
    2,007.50x = 3,235,822.56
  5. Step 5: Solve for x
    x = 3,235,822.56/2,007.50
  6. Step 6: Final answer
    x = 1,611.87

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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.