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Finding the Fourth Proportional to 3,178.74, 4,755.14 and 2,563.14

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Solution

The fourth proportional to 3,178.74, 4,755.14 and 2,563.14 is: 3,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.74 : 4,755.14 = 2,563.14 : x
  2. Step 2: Convert to fraction form
    3,178.74/4,755.14 = 2,563.14/x
  3. Step 3: Cross multiply
    3,178.74x = 4,755.14 × 2,563.14
  4. Step 4: Simplify right side
    3,178.74x = 12,188,089.54
  5. Step 5: Solve for x
    x = 12,188,089.54/3,178.74
  6. Step 6: Final answer
    x = 3,834.25

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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.