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Finding the Fourth Proportional to 1,192.05, 1,773.29 and 1,160.46

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Solution

The fourth proportional to 1,192.05, 1,773.29 and 1,160.46 is: 1,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.05 : 1,773.29 = 1,160.46 : x
  2. Step 2: Convert to fraction form
    1,192.05/1,773.29 = 1,160.46/x
  3. Step 3: Cross multiply
    1,192.05x = 1,773.29 × 1,160.46
  4. Step 4: Simplify right side
    1,192.05x = 2,057,835.01
  5. Step 5: Solve for x
    x = 2,057,835.01/1,192.05
  6. Step 6: Final answer
    x = 1,726.30

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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.