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Finding the Fourth Proportional to 2,949.66, 4,424.58 and 758.37

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Solution

The fourth proportional to 2,949.66, 4,424.58 and 758.37 is: 1,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.66 : 4,424.58 = 758.37 : x
  2. Step 2: Convert to fraction form
    2,949.66/4,424.58 = 758.37/x
  3. Step 3: Cross multiply
    2,949.66x = 4,424.58 × 758.37
  4. Step 4: Simplify right side
    2,949.66x = 3,355,468.73
  5. Step 5: Solve for x
    x = 3,355,468.73/2,949.66
  6. Step 6: Final answer
    x = 1,137.58

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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.