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Finding the Fourth Proportional to 3,144.14, 4,716.19 and 1,606.22

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Solution

The fourth proportional to 3,144.14, 4,716.19 and 1,606.22 is: 2,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.14 : 4,716.19 = 1,606.22 : x
  2. Step 2: Convert to fraction form
    3,144.14/4,716.19 = 1,606.22/x
  3. Step 3: Cross multiply
    3,144.14x = 4,716.19 × 1,606.22
  4. Step 4: Simplify right side
    3,144.14x = 7,575,238.70
  5. Step 5: Solve for x
    x = 7,575,238.70/3,144.14
  6. Step 6: Final answer
    x = 2,409.32

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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.