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Finding the Fourth Proportional to 2,222.59, 3,329.43 and 1,761.16

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Solution

The fourth proportional to 2,222.59, 3,329.43 and 1,761.16 is: 2,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.59 : 3,329.43 = 1,761.16 : x
  2. Step 2: Convert to fraction form
    2,222.59/3,329.43 = 1,761.16/x
  3. Step 3: Cross multiply
    2,222.59x = 3,329.43 × 1,761.16
  4. Step 4: Simplify right side
    2,222.59x = 5,863,658.94
  5. Step 5: Solve for x
    x = 5,863,658.94/2,222.59
  6. Step 6: Final answer
    x = 2,638.21

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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.