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Finding the Fourth Proportional to 2,846.29, 4,269.44 and 1,092.10

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Solution

The fourth proportional to 2,846.29, 4,269.44 and 1,092.10 is: 1,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.29 : 4,269.44 = 1,092.10 : x
  2. Step 2: Convert to fraction form
    2,846.29/4,269.44 = 1,092.10/x
  3. Step 3: Cross multiply
    2,846.29x = 4,269.44 × 1,092.10
  4. Step 4: Simplify right side
    2,846.29x = 4,662,649.96
  5. Step 5: Solve for x
    x = 4,662,649.96/2,846.29
  6. Step 6: Final answer
    x = 1,638.15

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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.