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Finding the Fourth Proportional to 2,084.86, 3,105.52 and 1,990.09

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Solution

The fourth proportional to 2,084.86, 3,105.52 and 1,990.09 is: 2,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.86 : 3,105.52 = 1,990.09 : x
  2. Step 2: Convert to fraction form
    2,084.86/3,105.52 = 1,990.09/x
  3. Step 3: Cross multiply
    2,084.86x = 3,105.52 × 1,990.09
  4. Step 4: Simplify right side
    2,084.86x = 6,180,264.30
  5. Step 5: Solve for x
    x = 6,180,264.30/2,084.86
  6. Step 6: Final answer
    x = 2,964.35

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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.