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Finding the Fourth Proportional to 2,539.50, 3,809.52 and 896.49

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Solution

The fourth proportional to 2,539.50, 3,809.52 and 896.49 is: 1,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.50 : 3,809.52 = 896.49 : x
  2. Step 2: Convert to fraction form
    2,539.50/3,809.52 = 896.49/x
  3. Step 3: Cross multiply
    2,539.50x = 3,809.52 × 896.49
  4. Step 4: Simplify right side
    2,539.50x = 3,415,196.58
  5. Step 5: Solve for x
    x = 3,415,196.58/2,539.50
  6. Step 6: Final answer
    x = 1,344.83

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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.