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Finding the Fourth Proportional to 2,796.90, 4,196.97 and 1,153.14

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Solution

The fourth proportional to 2,796.90, 4,196.97 and 1,153.14 is: 1,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.90 : 4,196.97 = 1,153.14 : x
  2. Step 2: Convert to fraction form
    2,796.90/4,196.97 = 1,153.14/x
  3. Step 3: Cross multiply
    2,796.90x = 4,196.97 × 1,153.14
  4. Step 4: Simplify right side
    2,796.90x = 4,839,693.99
  5. Step 5: Solve for x
    x = 4,839,693.99/2,796.90
  6. Step 6: Final answer
    x = 1,730.38

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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.