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Finding the Fourth Proportional to 3,177.70, 4,767.36 and 1,229.38

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Solution

The fourth proportional to 3,177.70, 4,767.36 and 1,229.38 is: 1,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.70 : 4,767.36 = 1,229.38 : x
  2. Step 2: Convert to fraction form
    3,177.70/4,767.36 = 1,229.38/x
  3. Step 3: Cross multiply
    3,177.70x = 4,767.36 × 1,229.38
  4. Step 4: Simplify right side
    3,177.70x = 5,860,897.04
  5. Step 5: Solve for x
    x = 5,860,897.04/3,177.70
  6. Step 6: Final answer
    x = 1,844.38

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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.