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Finding the Fourth Proportional to 1,650.39, 2,273.51 and 1,413.56

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Solution

The fourth proportional to 1,650.39, 2,273.51 and 1,413.56 is: 1,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.39 : 2,273.51 = 1,413.56 : x
  2. Step 2: Convert to fraction form
    1,650.39/2,273.51 = 1,413.56/x
  3. Step 3: Cross multiply
    1,650.39x = 2,273.51 × 1,413.56
  4. Step 4: Simplify right side
    1,650.39x = 3,213,741.41
  5. Step 5: Solve for x
    x = 3,213,741.41/1,650.39
  6. Step 6: Final answer
    x = 1,947.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.