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Finding the Fourth Proportional to 3,094.38, 4,641.50 and 754.41

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Solution

The fourth proportional to 3,094.38, 4,641.50 and 754.41 is: 1,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.38 : 4,641.50 = 754.41 : x
  2. Step 2: Convert to fraction form
    3,094.38/4,641.50 = 754.41/x
  3. Step 3: Cross multiply
    3,094.38x = 4,641.50 × 754.41
  4. Step 4: Simplify right side
    3,094.38x = 3,501,578.50
  5. Step 5: Solve for x
    x = 3,501,578.50/3,094.38
  6. Step 6: Final answer
    x = 1,131.59

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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.