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Finding the Fourth Proportional to 2,846.31, 4,271.04 and 1,092.48

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Solution

The fourth proportional to 2,846.31, 4,271.04 and 1,092.48 is: 1,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.31 : 4,271.04 = 1,092.48 : x
  2. Step 2: Convert to fraction form
    2,846.31/4,271.04 = 1,092.48/x
  3. Step 3: Cross multiply
    2,846.31x = 4,271.04 × 1,092.48
  4. Step 4: Simplify right side
    2,846.31x = 4,666,025.78
  5. Step 5: Solve for x
    x = 4,666,025.78/2,846.31
  6. Step 6: Final answer
    x = 1,639.32

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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.