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Finding the Fourth Proportional to 3,076.21, 4,611.47 and 1,226.88

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Solution

The fourth proportional to 3,076.21, 4,611.47 and 1,226.88 is: 1,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.21 : 4,611.47 = 1,226.88 : x
  2. Step 2: Convert to fraction form
    3,076.21/4,611.47 = 1,226.88/x
  3. Step 3: Cross multiply
    3,076.21x = 4,611.47 × 1,226.88
  4. Step 4: Simplify right side
    3,076.21x = 5,657,720.31
  5. Step 5: Solve for x
    x = 5,657,720.31/3,076.21
  6. Step 6: Final answer
    x = 1,839.19

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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.