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Finding the Fourth Proportional to 3,150.74, 4,716.38 and 2,052.74

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Solution

The fourth proportional to 3,150.74, 4,716.38 and 2,052.74 is: 3,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.74 : 4,716.38 = 2,052.74 : x
  2. Step 2: Convert to fraction form
    3,150.74/4,716.38 = 2,052.74/x
  3. Step 3: Cross multiply
    3,150.74x = 4,716.38 × 2,052.74
  4. Step 4: Simplify right side
    3,150.74x = 9,681,501.88
  5. Step 5: Solve for x
    x = 9,681,501.88/3,150.74
  6. Step 6: Final answer
    x = 3,072.77

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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.