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Finding the Fourth Proportional to 2,471.96, 3,709.74 and 1,990.82

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Solution

The fourth proportional to 2,471.96, 3,709.74 and 1,990.82 is: 2,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.96 : 3,709.74 = 1,990.82 : x
  2. Step 2: Convert to fraction form
    2,471.96/3,709.74 = 1,990.82/x
  3. Step 3: Cross multiply
    2,471.96x = 3,709.74 × 1,990.82
  4. Step 4: Simplify right side
    2,471.96x = 7,385,424.59
  5. Step 5: Solve for x
    x = 7,385,424.59/2,471.96
  6. Step 6: Final answer
    x = 2,987.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.