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Finding the Fourth Proportional to 2,539.44, 3,809.16 and 1,563.66

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Solution

The fourth proportional to 2,539.44, 3,809.16 and 1,563.66 is: 2,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.44 : 3,809.16 = 1,563.66 : x
  2. Step 2: Convert to fraction form
    2,539.44/3,809.16 = 1,563.66/x
  3. Step 3: Cross multiply
    2,539.44x = 3,809.16 × 1,563.66
  4. Step 4: Simplify right side
    2,539.44x = 5,956,231.13
  5. Step 5: Solve for x
    x = 5,956,231.13/2,539.44
  6. Step 6: Final answer
    x = 2,345.49

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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.