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Finding the Fourth Proportional to 2,563.86, 3,844.77 and 919.90

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Solution

The fourth proportional to 2,563.86, 3,844.77 and 919.90 is: 1,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.86 : 3,844.77 = 919.90 : x
  2. Step 2: Convert to fraction form
    2,563.86/3,844.77 = 919.90/x
  3. Step 3: Cross multiply
    2,563.86x = 3,844.77 × 919.90
  4. Step 4: Simplify right side
    2,563.86x = 3,536,803.92
  5. Step 5: Solve for x
    x = 3,536,803.92/2,563.86
  6. Step 6: Final answer
    x = 1,379.48

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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.