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Finding the Fourth Proportional to 2,960.50, 4,083.02 and 2,216.22

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Solution

The fourth proportional to 2,960.50, 4,083.02 and 2,216.22 is: 3,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.50 : 4,083.02 = 2,216.22 : x
  2. Step 2: Convert to fraction form
    2,960.50/4,083.02 = 2,216.22/x
  3. Step 3: Cross multiply
    2,960.50x = 4,083.02 × 2,216.22
  4. Step 4: Simplify right side
    2,960.50x = 9,048,870.58
  5. Step 5: Solve for x
    x = 9,048,870.58/2,960.50
  6. Step 6: Final answer
    x = 3,056.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.