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Finding the Fourth Proportional to 2,805.50, 4,208.97 and 2,015.78

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Solution

The fourth proportional to 2,805.50, 4,208.97 and 2,015.78 is: 3,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.50 : 4,208.97 = 2,015.78 : x
  2. Step 2: Convert to fraction form
    2,805.50/4,208.97 = 2,015.78/x
  3. Step 3: Cross multiply
    2,805.50x = 4,208.97 × 2,015.78
  4. Step 4: Simplify right side
    2,805.50x = 8,484,357.55
  5. Step 5: Solve for x
    x = 8,484,357.55/2,805.50
  6. Step 6: Final answer
    x = 3,024.19

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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.