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Finding the Fourth Proportional to 2,092.25, 2,887.31 and 1,160.93

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Solution

The fourth proportional to 2,092.25, 2,887.31 and 1,160.93 is: 1,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.25 : 2,887.31 = 1,160.93 : x
  2. Step 2: Convert to fraction form
    2,092.25/2,887.31 = 1,160.93/x
  3. Step 3: Cross multiply
    2,092.25x = 2,887.31 × 1,160.93
  4. Step 4: Simplify right side
    2,092.25x = 3,351,964.80
  5. Step 5: Solve for x
    x = 3,351,964.80/2,092.25
  6. Step 6: Final answer
    x = 1,602.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.