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Finding the Fourth Proportional to 1,196.87, 1,796.81 and 1,141.47

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Solution

The fourth proportional to 1,196.87, 1,796.81 and 1,141.47 is: 1,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.87 : 1,796.81 = 1,141.47 : x
  2. Step 2: Convert to fraction form
    1,196.87/1,796.81 = 1,141.47/x
  3. Step 3: Cross multiply
    1,196.87x = 1,796.81 × 1,141.47
  4. Step 4: Simplify right side
    1,196.87x = 2,050,999.00
  5. Step 5: Solve for x
    x = 2,050,999.00/1,196.87
  6. Step 6: Final answer
    x = 1,713.64

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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.