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Finding the Fourth Proportional to 2,980.92, 4,468.62 and 2,734.86

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Solution

The fourth proportional to 2,980.92, 4,468.62 and 2,734.86 is: 4,099.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.92 : 4,468.62 = 2,734.86 : x
  2. Step 2: Convert to fraction form
    2,980.92/4,468.62 = 2,734.86/x
  3. Step 3: Cross multiply
    2,980.92x = 4,468.62 × 2,734.86
  4. Step 4: Simplify right side
    2,980.92x = 12,221,050.09
  5. Step 5: Solve for x
    x = 12,221,050.09/2,980.92
  6. Step 6: Final answer
    x = 4,099.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.