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Finding the Fourth Proportional to 2,951.82, 4,402.77 and 2,780.49

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Solution

The fourth proportional to 2,951.82, 4,402.77 and 2,780.49 is: 4,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.82 : 4,402.77 = 2,780.49 : x
  2. Step 2: Convert to fraction form
    2,951.82/4,402.77 = 2,780.49/x
  3. Step 3: Cross multiply
    2,951.82x = 4,402.77 × 2,780.49
  4. Step 4: Simplify right side
    2,951.82x = 12,241,857.96
  5. Step 5: Solve for x
    x = 12,241,857.96/2,951.82
  6. Step 6: Final answer
    x = 4,147.22

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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.