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Finding the Fourth Proportional to 2,563.49, 3,844.04 and 1,523.63

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Solution

The fourth proportional to 2,563.49, 3,844.04 and 1,523.63 is: 2,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.49 : 3,844.04 = 1,523.63 : x
  2. Step 2: Convert to fraction form
    2,563.49/3,844.04 = 1,523.63/x
  3. Step 3: Cross multiply
    2,563.49x = 3,844.04 × 1,523.63
  4. Step 4: Simplify right side
    2,563.49x = 5,856,896.66
  5. Step 5: Solve for x
    x = 5,856,896.66/2,563.49
  6. Step 6: Final answer
    x = 2,284.73

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1.5x scale

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.