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Finding the Fourth Proportional to 2,003.72, 3,007.10 and 1,614.66

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Solution

The fourth proportional to 2,003.72, 3,007.10 and 1,614.66 is: 2,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.72 : 3,007.10 = 1,614.66 : x
  2. Step 2: Convert to fraction form
    2,003.72/3,007.10 = 1,614.66/x
  3. Step 3: Cross multiply
    2,003.72x = 3,007.10 × 1,614.66
  4. Step 4: Simplify right side
    2,003.72x = 4,855,444.09
  5. Step 5: Solve for x
    x = 4,855,444.09/2,003.72
  6. Step 6: Final answer
    x = 2,423.21

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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.