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Finding the Fourth Proportional to 3,144.46, 4,716.72 and 1,412.68

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Solution

The fourth proportional to 3,144.46, 4,716.72 and 1,412.68 is: 2,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.46 : 4,716.72 = 1,412.68 : x
  2. Step 2: Convert to fraction form
    3,144.46/4,716.72 = 1,412.68/x
  3. Step 3: Cross multiply
    3,144.46x = 4,716.72 × 1,412.68
  4. Step 4: Simplify right side
    3,144.46x = 6,663,216.01
  5. Step 5: Solve for x
    x = 6,663,216.01/3,144.46
  6. Step 6: Final answer
    x = 2,119.03

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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.