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Finding the Fourth Proportional to 1,992.56, 2,990.76 and 1,478

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Solution

The fourth proportional to 1,992.56, 2,990.76 and 1,478 is: 2,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.56 : 2,990.76 = 1,478 : x
  2. Step 2: Convert to fraction form
    1,992.56/2,990.76 = 1,478/x
  3. Step 3: Cross multiply
    1,992.56x = 2,990.76 × 1,478
  4. Step 4: Simplify right side
    1,992.56x = 4,420,343.28
  5. Step 5: Solve for x
    x = 4,420,343.28/1,992.56
  6. Step 6: Final answer
    x = 2,218.42

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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.