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Finding the Fourth Proportional to 3,100.67, 4,650.09 and 1,713.75

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Solution

The fourth proportional to 3,100.67, 4,650.09 and 1,713.75 is: 2,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.67 : 4,650.09 = 1,713.75 : x
  2. Step 2: Convert to fraction form
    3,100.67/4,650.09 = 1,713.75/x
  3. Step 3: Cross multiply
    3,100.67x = 4,650.09 × 1,713.75
  4. Step 4: Simplify right side
    3,100.67x = 7,969,091.74
  5. Step 5: Solve for x
    x = 7,969,091.74/3,100.67
  6. Step 6: Final answer
    x = 2,570.12

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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.