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Finding the Fourth Proportional to 2,523.96, 3,483 and 2,449.44

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Solution

The fourth proportional to 2,523.96, 3,483 and 2,449.44 is: 3,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.96 : 3,483 = 2,449.44 : x
  2. Step 2: Convert to fraction form
    2,523.96/3,483 = 2,449.44/x
  3. Step 3: Cross multiply
    2,523.96x = 3,483 × 2,449.44
  4. Step 4: Simplify right side
    2,523.96x = 8,531,399.52
  5. Step 5: Solve for x
    x = 8,531,399.52/2,523.96
  6. Step 6: Final answer
    x = 3,380.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.