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Finding the Fourth Proportional to 2,843.84, 4,282.52 and 2,483

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Solution

The fourth proportional to 2,843.84, 4,282.52 and 2,483 is: 3,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.84 : 4,282.52 = 2,483 : x
  2. Step 2: Convert to fraction form
    2,843.84/4,282.52 = 2,483/x
  3. Step 3: Cross multiply
    2,843.84x = 4,282.52 × 2,483
  4. Step 4: Simplify right side
    2,843.84x = 10,633,497.16
  5. Step 5: Solve for x
    x = 10,633,497.16/2,843.84
  6. Step 6: Final answer
    x = 3,739.13

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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.