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Finding the Fourth Proportional to 2,222.06, 3,329.44 and 760.41

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Solution

The fourth proportional to 2,222.06, 3,329.44 and 760.41 is: 1,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.06 : 3,329.44 = 760.41 : x
  2. Step 2: Convert to fraction form
    2,222.06/3,329.44 = 760.41/x
  3. Step 3: Cross multiply
    2,222.06x = 3,329.44 × 760.41
  4. Step 4: Simplify right side
    2,222.06x = 2,531,737.57
  5. Step 5: Solve for x
    x = 2,531,737.57/2,222.06
  6. Step 6: Final answer
    x = 1,139.37

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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.