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Finding the Fourth Proportional to 1,650.82, 2,279.74 and 1,413.40

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Solution

The fourth proportional to 1,650.82, 2,279.74 and 1,413.40 is: 1,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.82 : 2,279.74 = 1,413.40 : x
  2. Step 2: Convert to fraction form
    1,650.82/2,279.74 = 1,413.40/x
  3. Step 3: Cross multiply
    1,650.82x = 2,279.74 × 1,413.40
  4. Step 4: Simplify right side
    1,650.82x = 3,222,184.52
  5. Step 5: Solve for x
    x = 3,222,184.52/1,650.82
  6. Step 6: Final answer
    x = 1,951.87

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