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Finding the Fourth Proportional to 1,396.22, 2,084.52 and 1,153.22

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Solution

The fourth proportional to 1,396.22, 2,084.52 and 1,153.22 is: 1,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.22 : 2,084.52 = 1,153.22 : x
  2. Step 2: Convert to fraction form
    1,396.22/2,084.52 = 1,153.22/x
  3. Step 3: Cross multiply
    1,396.22x = 2,084.52 × 1,153.22
  4. Step 4: Simplify right side
    1,396.22x = 2,403,910.15
  5. Step 5: Solve for x
    x = 2,403,910.15/1,396.22
  6. Step 6: Final answer
    x = 1,721.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.