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Finding the Fourth Proportional to 3,300.31, 4,950.55 and 960.22

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Solution

The fourth proportional to 3,300.31, 4,950.55 and 960.22 is: 1,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.31 : 4,950.55 = 960.22 : x
  2. Step 2: Convert to fraction form
    3,300.31/4,950.55 = 960.22/x
  3. Step 3: Cross multiply
    3,300.31x = 4,950.55 × 960.22
  4. Step 4: Simplify right side
    3,300.31x = 4,753,592.37
  5. Step 5: Solve for x
    x = 4,753,592.37/3,300.31
  6. Step 6: Final answer
    x = 1,440.35

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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.