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Finding the Fourth Proportional to 2,940.58, 4,410.90 and 749.31

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Solution

The fourth proportional to 2,940.58, 4,410.90 and 749.31 is: 1,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.58 : 4,410.90 = 749.31 : x
  2. Step 2: Convert to fraction form
    2,940.58/4,410.90 = 749.31/x
  3. Step 3: Cross multiply
    2,940.58x = 4,410.90 × 749.31
  4. Step 4: Simplify right side
    2,940.58x = 3,305,131.48
  5. Step 5: Solve for x
    x = 3,305,131.48/2,940.58
  6. Step 6: Final answer
    x = 1,123.97

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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.