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Finding the Fourth Proportional to 2,133.78, 3,205.76 and 1,394

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Solution

The fourth proportional to 2,133.78, 3,205.76 and 1,394 is: 2,094.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.78 : 3,205.76 = 1,394 : x
  2. Step 2: Convert to fraction form
    2,133.78/3,205.76 = 1,394/x
  3. Step 3: Cross multiply
    2,133.78x = 3,205.76 × 1,394
  4. Step 4: Simplify right side
    2,133.78x = 4,468,829.44
  5. Step 5: Solve for x
    x = 4,468,829.44/2,133.78
  6. Step 6: Final answer
    x = 2,094.33

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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.