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Finding the Fourth Proportional to 3,092.31, 4,266.62 and 1,833.66

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Solution

The fourth proportional to 3,092.31, 4,266.62 and 1,833.66 is: 2,529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.31 : 4,266.62 = 1,833.66 : x
  2. Step 2: Convert to fraction form
    3,092.31/4,266.62 = 1,833.66/x
  3. Step 3: Cross multiply
    3,092.31x = 4,266.62 × 1,833.66
  4. Step 4: Simplify right side
    3,092.31x = 7,823,499.93
  5. Step 5: Solve for x
    x = 7,823,499.93/3,092.31
  6. Step 6: Final answer
    x = 2,529.99

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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.