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Finding the Fourth Proportional to 2,049.45, 3,074.52 and 663.14

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Solution

The fourth proportional to 2,049.45, 3,074.52 and 663.14 is: 994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.45 : 3,074.52 = 663.14 : x
  2. Step 2: Convert to fraction form
    2,049.45/3,074.52 = 663.14/x
  3. Step 3: Cross multiply
    2,049.45x = 3,074.52 × 663.14
  4. Step 4: Simplify right side
    2,049.45x = 2,038,821.82
  5. Step 5: Solve for x
    x = 2,038,821.82/2,049.45
  6. Step 6: Final answer
    x = 994.81

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Why These Related Problems?

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