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Finding the Fourth Proportional to 2,004.72, 3,018.22 and 1,736.81

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Solution

The fourth proportional to 2,004.72, 3,018.22 and 1,736.81 is: 2,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.72 : 3,018.22 = 1,736.81 : x
  2. Step 2: Convert to fraction form
    2,004.72/3,018.22 = 1,736.81/x
  3. Step 3: Cross multiply
    2,004.72x = 3,018.22 × 1,736.81
  4. Step 4: Simplify right side
    2,004.72x = 5,242,084.39
  5. Step 5: Solve for x
    x = 5,242,084.39/2,004.72
  6. Step 6: Final answer
    x = 2,614.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.