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Finding the Fourth Proportional to 2,494.94, 3,739.91 and 2,057.54

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Solution

The fourth proportional to 2,494.94, 3,739.91 and 2,057.54 is: 3,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.94 : 3,739.91 = 2,057.54 : x
  2. Step 2: Convert to fraction form
    2,494.94/3,739.91 = 2,057.54/x
  3. Step 3: Cross multiply
    2,494.94x = 3,739.91 × 2,057.54
  4. Step 4: Simplify right side
    2,494.94x = 7,694,985.43
  5. Step 5: Solve for x
    x = 7,694,985.43/2,494.94
  6. Step 6: Final answer
    x = 3,084.24

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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.