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Finding the Fourth Proportional to 2,092.93, 2,888.31 and 1,161.43

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Solution

The fourth proportional to 2,092.93, 2,888.31 and 1,161.43 is: 1,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.93 : 2,888.31 = 1,161.43 : x
  2. Step 2: Convert to fraction form
    2,092.93/2,888.31 = 1,161.43/x
  3. Step 3: Cross multiply
    2,092.93x = 2,888.31 × 1,161.43
  4. Step 4: Simplify right side
    2,092.93x = 3,354,569.88
  5. Step 5: Solve for x
    x = 3,354,569.88/2,092.93
  6. Step 6: Final answer
    x = 1,602.81

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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.