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Finding the Fourth Proportional to 2,766.92, 4,152.18 and 2,544.44

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Solution

The fourth proportional to 2,766.92, 4,152.18 and 2,544.44 is: 3,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.92 : 4,152.18 = 2,544.44 : x
  2. Step 2: Convert to fraction form
    2,766.92/4,152.18 = 2,544.44/x
  3. Step 3: Cross multiply
    2,766.92x = 4,152.18 × 2,544.44
  4. Step 4: Simplify right side
    2,766.92x = 10,564,972.88
  5. Step 5: Solve for x
    x = 10,564,972.88/2,766.92
  6. Step 6: Final answer
    x = 3,818.32

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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.