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Finding the Fourth Proportional to 2,030.96, 3,044.52 and 662

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Solution

The fourth proportional to 2,030.96, 3,044.52 and 662 is: 992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.96 : 3,044.52 = 662 : x
  2. Step 2: Convert to fraction form
    2,030.96/3,044.52 = 662/x
  3. Step 3: Cross multiply
    2,030.96x = 3,044.52 × 662
  4. Step 4: Simplify right side
    2,030.96x = 2,015,472.24
  5. Step 5: Solve for x
    x = 2,015,472.24/2,030.96
  6. Step 6: Final answer
    x = 992.37

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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.