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Finding the Fourth Proportional to 2,473.28, 3,711.84 and 1,990.72

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Solution

The fourth proportional to 2,473.28, 3,711.84 and 1,990.72 is: 2,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.28 : 3,711.84 = 1,990.72 : x
  2. Step 2: Convert to fraction form
    2,473.28/3,711.84 = 1,990.72/x
  3. Step 3: Cross multiply
    2,473.28x = 3,711.84 × 1,990.72
  4. Step 4: Simplify right side
    2,473.28x = 7,389,234.12
  5. Step 5: Solve for x
    x = 7,389,234.12/2,473.28
  6. Step 6: Final answer
    x = 2,987.63

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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.