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Finding the Fourth Proportional to 1,192.23, 1,773.23 and 1,179.27

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Solution

The fourth proportional to 1,192.23, 1,773.23 and 1,179.27 is: 1,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.23 : 1,773.23 = 1,179.27 : x
  2. Step 2: Convert to fraction form
    1,192.23/1,773.23 = 1,179.27/x
  3. Step 3: Cross multiply
    1,192.23x = 1,773.23 × 1,179.27
  4. Step 4: Simplify right side
    1,192.23x = 2,091,111.05
  5. Step 5: Solve for x
    x = 2,091,111.05/1,192.23
  6. Step 6: Final answer
    x = 1,753.95

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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.