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Finding the Fourth Proportional to 2,523.87, 3,481.52 and 1,590.75

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Solution

The fourth proportional to 2,523.87, 3,481.52 and 1,590.75 is: 2,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.87 : 3,481.52 = 1,590.75 : x
  2. Step 2: Convert to fraction form
    2,523.87/3,481.52 = 1,590.75/x
  3. Step 3: Cross multiply
    2,523.87x = 3,481.52 × 1,590.75
  4. Step 4: Simplify right side
    2,523.87x = 5,538,219.99
  5. Step 5: Solve for x
    x = 5,538,219.99/2,523.87
  6. Step 6: Final answer
    x = 2,194.34

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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.