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Finding the Fourth Proportional to 2,092.67, 3,142.26 and 1,803.41

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Solution

The fourth proportional to 2,092.67, 3,142.26 and 1,803.41 is: 2,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.67 : 3,142.26 = 1,803.41 : x
  2. Step 2: Convert to fraction form
    2,092.67/3,142.26 = 1,803.41/x
  3. Step 3: Cross multiply
    2,092.67x = 3,142.26 × 1,803.41
  4. Step 4: Simplify right side
    2,092.67x = 5,666,783.11
  5. Step 5: Solve for x
    x = 5,666,783.11/2,092.67
  6. Step 6: Final answer
    x = 2,707.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.