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Finding the Fourth Proportional to 1,963, 2,940.84 and 1,413.82

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Solution

The fourth proportional to 1,963, 2,940.84 and 1,413.82 is: 2,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963 : 2,940.84 = 1,413.82 : x
  2. Step 2: Convert to fraction form
    1,963/2,940.84 = 1,413.82/x
  3. Step 3: Cross multiply
    1,963x = 2,940.84 × 1,413.82
  4. Step 4: Simplify right side
    1,963x = 4,157,818.41
  5. Step 5: Solve for x
    x = 4,157,818.41/1,963
  6. Step 6: Final answer
    x = 2,118.09

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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.