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Finding the Fourth Proportional to 2,004.86, 2,991.98 and 1,786.16

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Solution

The fourth proportional to 2,004.86, 2,991.98 and 1,786.16 is: 2,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.86 : 2,991.98 = 1,786.16 : x
  2. Step 2: Convert to fraction form
    2,004.86/2,991.98 = 1,786.16/x
  3. Step 3: Cross multiply
    2,004.86x = 2,991.98 × 1,786.16
  4. Step 4: Simplify right side
    2,004.86x = 5,344,131.11
  5. Step 5: Solve for x
    x = 5,344,131.11/2,004.86
  6. Step 6: Final answer
    x = 2,665.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.