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Finding the Fourth Proportional to 3,110.72, 4,294.72 and 2,544.80

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Solution

The fourth proportional to 3,110.72, 4,294.72 and 2,544.80 is: 3,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.72 : 4,294.72 = 2,544.80 : x
  2. Step 2: Convert to fraction form
    3,110.72/4,294.72 = 2,544.80/x
  3. Step 3: Cross multiply
    3,110.72x = 4,294.72 × 2,544.80
  4. Step 4: Simplify right side
    3,110.72x = 10,929,203.46
  5. Step 5: Solve for x
    x = 10,929,203.46/3,110.72
  6. Step 6: Final answer
    x = 3,513.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.