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Finding the Fourth Proportional to 1,927.71, 2,891.94 and 629.07

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Solution

The fourth proportional to 1,927.71, 2,891.94 and 629.07 is: 943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.71 : 2,891.94 = 629.07 : x
  2. Step 2: Convert to fraction form
    1,927.71/2,891.94 = 629.07/x
  3. Step 3: Cross multiply
    1,927.71x = 2,891.94 × 629.07
  4. Step 4: Simplify right side
    1,927.71x = 1,819,232.70
  5. Step 5: Solve for x
    x = 1,819,232.70/1,927.71
  6. Step 6: Final answer
    x = 943.73

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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.