Home / 1,971.73-2,961.24-1,607.23

Finding the Fourth Proportional to 1,971.73, 2,961.24 and 1,607.23

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Solution

The fourth proportional to 1,971.73, 2,961.24 and 1,607.23 is: 2,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.73 : 2,961.24 = 1,607.23 : x
  2. Step 2: Convert to fraction form
    1,971.73/2,961.24 = 1,607.23/x
  3. Step 3: Cross multiply
    1,971.73x = 2,961.24 × 1,607.23
  4. Step 4: Simplify right side
    1,971.73x = 4,759,393.77
  5. Step 5: Solve for x
    x = 4,759,393.77/1,971.73
  6. Step 6: Final answer
    x = 2,413.82

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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.