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Finding the Fourth Proportional to 2,700.86, 4,047.82 and 2,083.26

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Solution

The fourth proportional to 2,700.86, 4,047.82 and 2,083.26 is: 3,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.86 : 4,047.82 = 2,083.26 : x
  2. Step 2: Convert to fraction form
    2,700.86/4,047.82 = 2,083.26/x
  3. Step 3: Cross multiply
    2,700.86x = 4,047.82 × 2,083.26
  4. Step 4: Simplify right side
    2,700.86x = 8,432,679.28
  5. Step 5: Solve for x
    x = 8,432,679.28/2,700.86
  6. Step 6: Final answer
    x = 3,122.23

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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.