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Finding the Fourth Proportional to 2,489.52, 3,734.46 and 845.40

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Solution

The fourth proportional to 2,489.52, 3,734.46 and 845.40 is: 1,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.52 : 3,734.46 = 845.40 : x
  2. Step 2: Convert to fraction form
    2,489.52/3,734.46 = 845.40/x
  3. Step 3: Cross multiply
    2,489.52x = 3,734.46 × 845.40
  4. Step 4: Simplify right side
    2,489.52x = 3,157,112.48
  5. Step 5: Solve for x
    x = 3,157,112.48/2,489.52
  6. Step 6: Final answer
    x = 1,268.16

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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.