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Finding the Fourth Proportional to 4,949.70, 7,424.62 and 1,662.82

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Solution

The fourth proportional to 4,949.70, 7,424.62 and 1,662.82 is: 2,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.70 : 7,424.62 = 1,662.82 : x
  2. Step 2: Convert to fraction form
    4,949.70/7,424.62 = 1,662.82/x
  3. Step 3: Cross multiply
    4,949.70x = 7,424.62 × 1,662.82
  4. Step 4: Simplify right side
    4,949.70x = 12,345,769.51
  5. Step 5: Solve for x
    x = 12,345,769.51/4,949.70
  6. Step 6: Final answer
    x = 2,494.25

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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.