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Finding the Fourth Proportional to 2,007.19, 3,003.49 and 1,657.27

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Solution

The fourth proportional to 2,007.19, 3,003.49 and 1,657.27 is: 2,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.19 : 3,003.49 = 1,657.27 : x
  2. Step 2: Convert to fraction form
    2,007.19/3,003.49 = 1,657.27/x
  3. Step 3: Cross multiply
    2,007.19x = 3,003.49 × 1,657.27
  4. Step 4: Simplify right side
    2,007.19x = 4,977,593.87
  5. Step 5: Solve for x
    x = 4,977,593.87/2,007.19
  6. Step 6: Final answer
    x = 2,479.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.