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Finding the Fourth Proportional to 2,771.66, 4,141.25 and 2,674.76

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Solution

The fourth proportional to 2,771.66, 4,141.25 and 2,674.76 is: 3,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.66 : 4,141.25 = 2,674.76 : x
  2. Step 2: Convert to fraction form
    2,771.66/4,141.25 = 2,674.76/x
  3. Step 3: Cross multiply
    2,771.66x = 4,141.25 × 2,674.76
  4. Step 4: Simplify right side
    2,771.66x = 11,076,849.85
  5. Step 5: Solve for x
    x = 11,076,849.85/2,771.66
  6. Step 6: Final answer
    x = 3,996.47

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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.