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Finding the Fourth Proportional to 2,494.44, 3,738.44 and 1,106.88

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Solution

The fourth proportional to 2,494.44, 3,738.44 and 1,106.88 is: 1,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.44 : 3,738.44 = 1,106.88 : x
  2. Step 2: Convert to fraction form
    2,494.44/3,738.44 = 1,106.88/x
  3. Step 3: Cross multiply
    2,494.44x = 3,738.44 × 1,106.88
  4. Step 4: Simplify right side
    2,494.44x = 4,138,004.47
  5. Step 5: Solve for x
    x = 4,138,004.47/2,494.44
  6. Step 6: Final answer
    x = 1,658.89

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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.