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Finding the Fourth Proportional to 1,938.74, 2,894.04 and 1,794.19

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Solution

The fourth proportional to 1,938.74, 2,894.04 and 1,794.19 is: 2,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.74 : 2,894.04 = 1,794.19 : x
  2. Step 2: Convert to fraction form
    1,938.74/2,894.04 = 1,794.19/x
  3. Step 3: Cross multiply
    1,938.74x = 2,894.04 × 1,794.19
  4. Step 4: Simplify right side
    1,938.74x = 5,192,454.27
  5. Step 5: Solve for x
    x = 5,192,454.27/1,938.74
  6. Step 6: Final answer
    x = 2,678.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.