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Finding the Fourth Proportional to 3,078.72, 4,616.85 and 1,129.86

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Solution

The fourth proportional to 3,078.72, 4,616.85 and 1,129.86 is: 1,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.72 : 4,616.85 = 1,129.86 : x
  2. Step 2: Convert to fraction form
    3,078.72/4,616.85 = 1,129.86/x
  3. Step 3: Cross multiply
    3,078.72x = 4,616.85 × 1,129.86
  4. Step 4: Simplify right side
    3,078.72x = 5,216,394.14
  5. Step 5: Solve for x
    x = 5,216,394.14/3,078.72
  6. Step 6: Final answer
    x = 1,694.34

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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.