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Finding the Fourth Proportional to 2,155.72, 3,227.04 and 1,950.34

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Solution

The fourth proportional to 2,155.72, 3,227.04 and 1,950.34 is: 2,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.72 : 3,227.04 = 1,950.34 : x
  2. Step 2: Convert to fraction form
    2,155.72/3,227.04 = 1,950.34/x
  3. Step 3: Cross multiply
    2,155.72x = 3,227.04 × 1,950.34
  4. Step 4: Simplify right side
    2,155.72x = 6,293,825.19
  5. Step 5: Solve for x
    x = 6,293,825.19/2,155.72
  6. Step 6: Final answer
    x = 2,919.59

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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.