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Finding the Fourth Proportional to 2,563, 3,538.22 and 1,828.28

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Solution

The fourth proportional to 2,563, 3,538.22 and 1,828.28 is: 2,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563 : 3,538.22 = 1,828.28 : x
  2. Step 2: Convert to fraction form
    2,563/3,538.22 = 1,828.28/x
  3. Step 3: Cross multiply
    2,563x = 3,538.22 × 1,828.28
  4. Step 4: Simplify right side
    2,563x = 6,468,856.86
  5. Step 5: Solve for x
    x = 6,468,856.86/2,563
  6. Step 6: Final answer
    x = 2,523.94

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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.