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Finding the Fourth Proportional to 2,974.65, 4,103.73 and 1,795.07

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Solution

The fourth proportional to 2,974.65, 4,103.73 and 1,795.07 is: 2,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.65 : 4,103.73 = 1,795.07 : x
  2. Step 2: Convert to fraction form
    2,974.65/4,103.73 = 1,795.07/x
  3. Step 3: Cross multiply
    2,974.65x = 4,103.73 × 1,795.07
  4. Step 4: Simplify right side
    2,974.65x = 7,366,462.09
  5. Step 5: Solve for x
    x = 7,366,462.09/2,974.65
  6. Step 6: Final answer
    x = 2,476.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.