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Finding the Fourth Proportional to 3,076.84, 4,614.54 and 1,127.80

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Solution

The fourth proportional to 3,076.84, 4,614.54 and 1,127.80 is: 1,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.84 : 4,614.54 = 1,127.80 : x
  2. Step 2: Convert to fraction form
    3,076.84/4,614.54 = 1,127.80/x
  3. Step 3: Cross multiply
    3,076.84x = 4,614.54 × 1,127.80
  4. Step 4: Simplify right side
    3,076.84x = 5,204,278.21
  5. Step 5: Solve for x
    x = 5,204,278.21/3,076.84
  6. Step 6: Final answer
    x = 1,691.44

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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.