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Finding the Fourth Proportional to 1,946.25, 2,919.07 and 629.83

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Solution

The fourth proportional to 1,946.25, 2,919.07 and 629.83 is: 944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.25 : 2,919.07 = 629.83 : x
  2. Step 2: Convert to fraction form
    1,946.25/2,919.07 = 629.83/x
  3. Step 3: Cross multiply
    1,946.25x = 2,919.07 × 629.83
  4. Step 4: Simplify right side
    1,946.25x = 1,838,514.71
  5. Step 5: Solve for x
    x = 1,838,514.71/1,946.25
  6. Step 6: Final answer
    x = 944.64

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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.