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Finding the Fourth Proportional to 3,151.90, 4,729.07 and 1,204.26

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Solution

The fourth proportional to 3,151.90, 4,729.07 and 1,204.26 is: 1,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.90 : 4,729.07 = 1,204.26 : x
  2. Step 2: Convert to fraction form
    3,151.90/4,729.07 = 1,204.26/x
  3. Step 3: Cross multiply
    3,151.90x = 4,729.07 × 1,204.26
  4. Step 4: Simplify right side
    3,151.90x = 5,695,029.84
  5. Step 5: Solve for x
    x = 5,695,029.84/3,151.90
  6. Step 6: Final answer
    x = 1,806.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.