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Finding the Fourth Proportional to 3,413.44, 5,111.95 and 1,948.15

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Solution

The fourth proportional to 3,413.44, 5,111.95 and 1,948.15 is: 2,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.44 : 5,111.95 = 1,948.15 : x
  2. Step 2: Convert to fraction form
    3,413.44/5,111.95 = 1,948.15/x
  3. Step 3: Cross multiply
    3,413.44x = 5,111.95 × 1,948.15
  4. Step 4: Simplify right side
    3,413.44x = 9,958,845.39
  5. Step 5: Solve for x
    x = 9,958,845.39/3,413.44
  6. Step 6: Final answer
    x = 2,917.54

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1.5x scale

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.