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Finding the Fourth Proportional to 1,949.25, 2,924.01 and 962.58

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Solution

The fourth proportional to 1,949.25, 2,924.01 and 962.58 is: 1,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.25 : 2,924.01 = 962.58 : x
  2. Step 2: Convert to fraction form
    1,949.25/2,924.01 = 962.58/x
  3. Step 3: Cross multiply
    1,949.25x = 2,924.01 × 962.58
  4. Step 4: Simplify right side
    1,949.25x = 2,814,593.55
  5. Step 5: Solve for x
    x = 2,814,593.55/1,949.25
  6. Step 6: Final answer
    x = 1,443.94

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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.