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Finding the Fourth Proportional to 2,121.81, 3,168 and 1,990.59

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Solution

The fourth proportional to 2,121.81, 3,168 and 1,990.59 is: 2,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.81 : 3,168 = 1,990.59 : x
  2. Step 2: Convert to fraction form
    2,121.81/3,168 = 1,990.59/x
  3. Step 3: Cross multiply
    2,121.81x = 3,168 × 1,990.59
  4. Step 4: Simplify right side
    2,121.81x = 6,306,189.12
  5. Step 5: Solve for x
    x = 6,306,189.12/2,121.81
  6. Step 6: Final answer
    x = 2,972.08

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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.