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Finding the Fourth Proportional to 4,949.23, 7,422.01 and 1,661.54

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Solution

The fourth proportional to 4,949.23, 7,422.01 and 1,661.54 is: 2,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.23 : 7,422.01 = 1,661.54 : x
  2. Step 2: Convert to fraction form
    4,949.23/7,422.01 = 1,661.54/x
  3. Step 3: Cross multiply
    4,949.23x = 7,422.01 × 1,661.54
  4. Step 4: Simplify right side
    4,949.23x = 12,331,958.19
  5. Step 5: Solve for x
    x = 12,331,958.19/4,949.23
  6. Step 6: Final answer
    x = 2,491.69

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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.