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Finding the Fourth Proportional to 3,056, 4,218.24 and 2,060.96

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Solution

The fourth proportional to 3,056, 4,218.24 and 2,060.96 is: 2,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056 : 4,218.24 = 2,060.96 : x
  2. Step 2: Convert to fraction form
    3,056/4,218.24 = 2,060.96/x
  3. Step 3: Cross multiply
    3,056x = 4,218.24 × 2,060.96
  4. Step 4: Simplify right side
    3,056x = 8,693,623.91
  5. Step 5: Solve for x
    x = 8,693,623.91/3,056
  6. Step 6: Final answer
    x = 2,844.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.