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Finding the Fourth Proportional to 2,325.96, 3,489.84 and 1,027.44

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Solution

The fourth proportional to 2,325.96, 3,489.84 and 1,027.44 is: 1,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.96 : 3,489.84 = 1,027.44 : x
  2. Step 2: Convert to fraction form
    2,325.96/3,489.84 = 1,027.44/x
  3. Step 3: Cross multiply
    2,325.96x = 3,489.84 × 1,027.44
  4. Step 4: Simplify right side
    2,325.96x = 3,585,601.21
  5. Step 5: Solve for x
    x = 3,585,601.21/2,325.96
  6. Step 6: Final answer
    x = 1,541.56

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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.