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Finding the Fourth Proportional to 3,093.75, 4,640.90 and 785.25

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Solution

The fourth proportional to 3,093.75, 4,640.90 and 785.25 is: 1,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.75 : 4,640.90 = 785.25 : x
  2. Step 2: Convert to fraction form
    3,093.75/4,640.90 = 785.25/x
  3. Step 3: Cross multiply
    3,093.75x = 4,640.90 × 785.25
  4. Step 4: Simplify right side
    3,093.75x = 3,644,262.80
  5. Step 5: Solve for x
    x = 3,644,262.80/3,093.75
  6. Step 6: Final answer
    x = 1,177.94

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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.