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Finding the Fourth Proportional to 3,369.80, 4,650.34 and 1,877.78

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Solution

The fourth proportional to 3,369.80, 4,650.34 and 1,877.78 is: 2,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.80 : 4,650.34 = 1,877.78 : x
  2. Step 2: Convert to fraction form
    3,369.80/4,650.34 = 1,877.78/x
  3. Step 3: Cross multiply
    3,369.80x = 4,650.34 × 1,877.78
  4. Step 4: Simplify right side
    3,369.80x = 8,732,287.50
  5. Step 5: Solve for x
    x = 8,732,287.50/3,369.80
  6. Step 6: Final answer
    x = 2,591.34

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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.