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Finding the Fourth Proportional to 2,662.84, 3,672.39 and 2,219.77

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Solution

The fourth proportional to 2,662.84, 3,672.39 and 2,219.77 is: 3,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.84 : 3,672.39 = 2,219.77 : x
  2. Step 2: Convert to fraction form
    2,662.84/3,672.39 = 2,219.77/x
  3. Step 3: Cross multiply
    2,662.84x = 3,672.39 × 2,219.77
  4. Step 4: Simplify right side
    2,662.84x = 8,151,861.15
  5. Step 5: Solve for x
    x = 8,151,861.15/2,662.84
  6. Step 6: Final answer
    x = 3,061.34

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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.