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Finding the Fourth Proportional to 2,940.72, 4,411.19 and 1,092.30

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Solution

The fourth proportional to 2,940.72, 4,411.19 and 1,092.30 is: 1,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.72 : 4,411.19 = 1,092.30 : x
  2. Step 2: Convert to fraction form
    2,940.72/4,411.19 = 1,092.30/x
  3. Step 3: Cross multiply
    2,940.72x = 4,411.19 × 1,092.30
  4. Step 4: Simplify right side
    2,940.72x = 4,818,342.84
  5. Step 5: Solve for x
    x = 4,818,342.84/2,940.72
  6. Step 6: Final answer
    x = 1,638.49

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Why These Related Problems?

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