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Finding the Fourth Proportional to 2,199.80, 3,283.80 and 1,871.66

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Solution

The fourth proportional to 2,199.80, 3,283.80 and 1,871.66 is: 2,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.80 : 3,283.80 = 1,871.66 : x
  2. Step 2: Convert to fraction form
    2,199.80/3,283.80 = 1,871.66/x
  3. Step 3: Cross multiply
    2,199.80x = 3,283.80 × 1,871.66
  4. Step 4: Simplify right side
    2,199.80x = 6,146,157.11
  5. Step 5: Solve for x
    x = 6,146,157.11/2,199.80
  6. Step 6: Final answer
    x = 2,793.96

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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.