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Finding the Fourth Proportional to 4,940.97, 7,411.24 and 1,653.81

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Solution

The fourth proportional to 4,940.97, 7,411.24 and 1,653.81 is: 2,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.97 : 7,411.24 = 1,653.81 : x
  2. Step 2: Convert to fraction form
    4,940.97/7,411.24 = 1,653.81/x
  3. Step 3: Cross multiply
    4,940.97x = 7,411.24 × 1,653.81
  4. Step 4: Simplify right side
    4,940.97x = 12,256,782.82
  5. Step 5: Solve for x
    x = 12,256,782.82/4,940.97
  6. Step 6: Final answer
    x = 2,480.64

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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.