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Finding the Fourth Proportional to 1,974.97, 2,725.42 and 1,078.67

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Solution

The fourth proportional to 1,974.97, 2,725.42 and 1,078.67 is: 1,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.97 : 2,725.42 = 1,078.67 : x
  2. Step 2: Convert to fraction form
    1,974.97/2,725.42 = 1,078.67/x
  3. Step 3: Cross multiply
    1,974.97x = 2,725.42 × 1,078.67
  4. Step 4: Simplify right side
    1,974.97x = 2,939,828.79
  5. Step 5: Solve for x
    x = 2,939,828.79/1,974.97
  6. Step 6: Final answer
    x = 1,488.54

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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.