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Finding the Fourth Proportional to 2,511.80, 3,766.62 and 780.56

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Solution

The fourth proportional to 2,511.80, 3,766.62 and 780.56 is: 1,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.80 : 3,766.62 = 780.56 : x
  2. Step 2: Convert to fraction form
    2,511.80/3,766.62 = 780.56/x
  3. Step 3: Cross multiply
    2,511.80x = 3,766.62 × 780.56
  4. Step 4: Simplify right side
    2,511.80x = 2,940,072.91
  5. Step 5: Solve for x
    x = 2,940,072.91/2,511.80
  6. Step 6: Final answer
    x = 1,170.50

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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.