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Finding the Fourth Proportional to 1,938.89, 2,894.27 and 1,794.34

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Solution

The fourth proportional to 1,938.89, 2,894.27 and 1,794.34 is: 2,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.89 : 2,894.27 = 1,794.34 : x
  2. Step 2: Convert to fraction form
    1,938.89/2,894.27 = 1,794.34/x
  3. Step 3: Cross multiply
    1,938.89x = 2,894.27 × 1,794.34
  4. Step 4: Simplify right side
    1,938.89x = 5,193,304.43
  5. Step 5: Solve for x
    x = 5,193,304.43/1,938.89
  6. Step 6: Final answer
    x = 2,678.49

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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.