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Finding the Fourth Proportional to 1,411.67, 1,961.54 and 1,396.46

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Solution

The fourth proportional to 1,411.67, 1,961.54 and 1,396.46 is: 1,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.67 : 1,961.54 = 1,396.46 : x
  2. Step 2: Convert to fraction form
    1,411.67/1,961.54 = 1,396.46/x
  3. Step 3: Cross multiply
    1,411.67x = 1,961.54 × 1,396.46
  4. Step 4: Simplify right side
    1,411.67x = 2,739,212.15
  5. Step 5: Solve for x
    x = 2,739,212.15/1,411.67
  6. Step 6: Final answer
    x = 1,940.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.