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Finding the Fourth Proportional to 2,469.95, 3,707.82 and 1,950.30

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Solution

The fourth proportional to 2,469.95, 3,707.82 and 1,950.30 is: 2,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.95 : 3,707.82 = 1,950.30 : x
  2. Step 2: Convert to fraction form
    2,469.95/3,707.82 = 1,950.30/x
  3. Step 3: Cross multiply
    2,469.95x = 3,707.82 × 1,950.30
  4. Step 4: Simplify right side
    2,469.95x = 7,231,363.54
  5. Step 5: Solve for x
    x = 7,231,363.54/2,469.95
  6. Step 6: Final answer
    x = 2,927.74

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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.