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Finding the Fourth Proportional to 2,049.59, 3,074.01 and 662.52

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Solution

The fourth proportional to 2,049.59, 3,074.01 and 662.52 is: 993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.59 : 3,074.01 = 662.52 : x
  2. Step 2: Convert to fraction form
    2,049.59/3,074.01 = 662.52/x
  3. Step 3: Cross multiply
    2,049.59x = 3,074.01 × 662.52
  4. Step 4: Simplify right side
    2,049.59x = 2,036,593.11
  5. Step 5: Solve for x
    x = 2,036,593.11/2,049.59
  6. Step 6: Final answer
    x = 993.66

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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.