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Finding the Fourth Proportional to 2,906.69, 4,359.40 and 1,865.21

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Solution

The fourth proportional to 2,906.69, 4,359.40 and 1,865.21 is: 2,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.69 : 4,359.40 = 1,865.21 : x
  2. Step 2: Convert to fraction form
    2,906.69/4,359.40 = 1,865.21/x
  3. Step 3: Cross multiply
    2,906.69x = 4,359.40 × 1,865.21
  4. Step 4: Simplify right side
    2,906.69x = 8,131,170.01
  5. Step 5: Solve for x
    x = 8,131,170.01/2,906.69
  6. Step 6: Final answer
    x = 2,797.40

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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.