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Finding the Fourth Proportional to 2,809.84, 4,231.24 and 2,448.84

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Solution

The fourth proportional to 2,809.84, 4,231.24 and 2,448.84 is: 3,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.84 : 4,231.24 = 2,448.84 : x
  2. Step 2: Convert to fraction form
    2,809.84/4,231.24 = 2,448.84/x
  3. Step 3: Cross multiply
    2,809.84x = 4,231.24 × 2,448.84
  4. Step 4: Simplify right side
    2,809.84x = 10,361,629.76
  5. Step 5: Solve for x
    x = 10,361,629.76/2,809.84
  6. Step 6: Final answer
    x = 3,687.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.