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Finding the Fourth Proportional to 3,093.16, 4,640.22 and 1,041

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Solution

The fourth proportional to 3,093.16, 4,640.22 and 1,041 is: 1,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.16 : 4,640.22 = 1,041 : x
  2. Step 2: Convert to fraction form
    3,093.16/4,640.22 = 1,041/x
  3. Step 3: Cross multiply
    3,093.16x = 4,640.22 × 1,041
  4. Step 4: Simplify right side
    3,093.16x = 4,830,469.02
  5. Step 5: Solve for x
    x = 4,830,469.02/3,093.16
  6. Step 6: Final answer
    x = 1,561.66

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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.