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Finding the Fourth Proportional to 2,523.96, 3,783.24 and 1,275.48

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Solution

The fourth proportional to 2,523.96, 3,783.24 and 1,275.48 is: 1,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.96 : 3,783.24 = 1,275.48 : x
  2. Step 2: Convert to fraction form
    2,523.96/3,783.24 = 1,275.48/x
  3. Step 3: Cross multiply
    2,523.96x = 3,783.24 × 1,275.48
  4. Step 4: Simplify right side
    2,523.96x = 4,825,446.96
  5. Step 5: Solve for x
    x = 4,825,446.96/2,523.96
  6. Step 6: Final answer
    x = 1,911.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.