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Finding the Fourth Proportional to 2,774.42, 4,137.09 and 2,749.71

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Solution

The fourth proportional to 2,774.42, 4,137.09 and 2,749.71 is: 4,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.42 : 4,137.09 = 2,749.71 : x
  2. Step 2: Convert to fraction form
    2,774.42/4,137.09 = 2,749.71/x
  3. Step 3: Cross multiply
    2,774.42x = 4,137.09 × 2,749.71
  4. Step 4: Simplify right side
    2,774.42x = 11,375,797.74
  5. Step 5: Solve for x
    x = 11,375,797.74/2,774.42
  6. Step 6: Final answer
    x = 4,100.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.