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Finding the Fourth Proportional to 2,524, 3,783.48 and 1,063.96

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Solution

The fourth proportional to 2,524, 3,783.48 and 1,063.96 is: 1,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524 : 3,783.48 = 1,063.96 : x
  2. Step 2: Convert to fraction form
    2,524/3,783.48 = 1,063.96/x
  3. Step 3: Cross multiply
    2,524x = 3,783.48 × 1,063.96
  4. Step 4: Simplify right side
    2,524x = 4,025,471.38
  5. Step 5: Solve for x
    x = 4,025,471.38/2,524
  6. Step 6: Final answer
    x = 1,594.88

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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.