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Finding the Fourth Proportional to 2,003.93, 2,764.29 and 1,413.44

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Solution

The fourth proportional to 2,003.93, 2,764.29 and 1,413.44 is: 1,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.93 : 2,764.29 = 1,413.44 : x
  2. Step 2: Convert to fraction form
    2,003.93/2,764.29 = 1,413.44/x
  3. Step 3: Cross multiply
    2,003.93x = 2,764.29 × 1,413.44
  4. Step 4: Simplify right side
    2,003.93x = 3,907,158.06
  5. Step 5: Solve for x
    x = 3,907,158.06/2,003.93
  6. Step 6: Final answer
    x = 1,949.75

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1.5x scale

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.