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Finding the Fourth Proportional to 2,890.54, 3,990.42 and 2,004.81

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Solution

The fourth proportional to 2,890.54, 3,990.42 and 2,004.81 is: 2,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.54 : 3,990.42 = 2,004.81 : x
  2. Step 2: Convert to fraction form
    2,890.54/3,990.42 = 2,004.81/x
  3. Step 3: Cross multiply
    2,890.54x = 3,990.42 × 2,004.81
  4. Step 4: Simplify right side
    2,890.54x = 8,000,033.92
  5. Step 5: Solve for x
    x = 8,000,033.92/2,890.54
  6. Step 6: Final answer
    x = 2,767.66

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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.