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Finding the Fourth Proportional to 2,628.48, 3,919.47 and 2,449.74

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Solution

The fourth proportional to 2,628.48, 3,919.47 and 2,449.74 is: 3,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.48 : 3,919.47 = 2,449.74 : x
  2. Step 2: Convert to fraction form
    2,628.48/3,919.47 = 2,449.74/x
  3. Step 3: Cross multiply
    2,628.48x = 3,919.47 × 2,449.74
  4. Step 4: Simplify right side
    2,628.48x = 9,601,682.44
  5. Step 5: Solve for x
    x = 9,601,682.44/2,628.48
  6. Step 6: Final answer
    x = 3,652.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.