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Finding the Fourth Proportional to 3,078.45, 4,617.68 and 1,229.71

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Solution

The fourth proportional to 3,078.45, 4,617.68 and 1,229.71 is: 1,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.45 : 4,617.68 = 1,229.71 : x
  2. Step 2: Convert to fraction form
    3,078.45/4,617.68 = 1,229.71/x
  3. Step 3: Cross multiply
    3,078.45x = 4,617.68 × 1,229.71
  4. Step 4: Simplify right side
    3,078.45x = 5,678,401.12
  5. Step 5: Solve for x
    x = 5,678,401.12/3,078.45
  6. Step 6: Final answer
    x = 1,844.57

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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.