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Finding the Fourth Proportional to 2,784.78, 3,843.09 and 1,525.95

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Solution

The fourth proportional to 2,784.78, 3,843.09 and 1,525.95 is: 2,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.78 : 3,843.09 = 1,525.95 : x
  2. Step 2: Convert to fraction form
    2,784.78/3,843.09 = 1,525.95/x
  3. Step 3: Cross multiply
    2,784.78x = 3,843.09 × 1,525.95
  4. Step 4: Simplify right side
    2,784.78x = 5,864,363.19
  5. Step 5: Solve for x
    x = 5,864,363.19/2,784.78
  6. Step 6: Final answer
    x = 2,105.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.