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Finding the Fourth Proportional to 2,563.91, 3,847.69 and 1,979.50

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Solution

The fourth proportional to 2,563.91, 3,847.69 and 1,979.50 is: 2,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.91 : 3,847.69 = 1,979.50 : x
  2. Step 2: Convert to fraction form
    2,563.91/3,847.69 = 1,979.50/x
  3. Step 3: Cross multiply
    2,563.91x = 3,847.69 × 1,979.50
  4. Step 4: Simplify right side
    2,563.91x = 7,616,502.36
  5. Step 5: Solve for x
    x = 7,616,502.36/2,563.91
  6. Step 6: Final answer
    x = 2,970.66

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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.