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Finding the Fourth Proportional to 2,839, 4,259.22 and 1,084.72

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Solution

The fourth proportional to 2,839, 4,259.22 and 1,084.72 is: 1,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839 : 4,259.22 = 1,084.72 : x
  2. Step 2: Convert to fraction form
    2,839/4,259.22 = 1,084.72/x
  3. Step 3: Cross multiply
    2,839x = 4,259.22 × 1,084.72
  4. Step 4: Simplify right side
    2,839x = 4,620,061.12
  5. Step 5: Solve for x
    x = 4,620,061.12/2,839
  6. Step 6: Final answer
    x = 1,627.36

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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.