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Finding the Fourth Proportional to 2,950.45, 4,414.54 and 1,760.08

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Solution

The fourth proportional to 2,950.45, 4,414.54 and 1,760.08 is: 2,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.45 : 4,414.54 = 1,760.08 : x
  2. Step 2: Convert to fraction form
    2,950.45/4,414.54 = 1,760.08/x
  3. Step 3: Cross multiply
    2,950.45x = 4,414.54 × 1,760.08
  4. Step 4: Simplify right side
    2,950.45x = 7,769,943.56
  5. Step 5: Solve for x
    x = 7,769,943.56/2,950.45
  6. Step 6: Final answer
    x = 2,633.48

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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.