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Finding the Fourth Proportional to 3,176.68, 4,772.94 and 2,768.44

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Solution

The fourth proportional to 3,176.68, 4,772.94 and 2,768.44 is: 4,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.68 : 4,772.94 = 2,768.44 : x
  2. Step 2: Convert to fraction form
    3,176.68/4,772.94 = 2,768.44/x
  3. Step 3: Cross multiply
    3,176.68x = 4,772.94 × 2,768.44
  4. Step 4: Simplify right side
    3,176.68x = 13,213,598.01
  5. Step 5: Solve for x
    x = 13,213,598.01/3,176.68
  6. Step 6: Final answer
    x = 4,159.56

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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.