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Finding the Fourth Proportional to 2,871.80, 4,307.70 and 1,949.22

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Solution

The fourth proportional to 2,871.80, 4,307.70 and 1,949.22 is: 2,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.80 : 4,307.70 = 1,949.22 : x
  2. Step 2: Convert to fraction form
    2,871.80/4,307.70 = 1,949.22/x
  3. Step 3: Cross multiply
    2,871.80x = 4,307.70 × 1,949.22
  4. Step 4: Simplify right side
    2,871.80x = 8,396,654.99
  5. Step 5: Solve for x
    x = 8,396,654.99/2,871.80
  6. Step 6: Final answer
    x = 2,923.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.