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Finding the Fourth Proportional to 2,944.07, 4,413.14 and 1,300.32

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Solution

The fourth proportional to 2,944.07, 4,413.14 and 1,300.32 is: 1,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.07 : 4,413.14 = 1,300.32 : x
  2. Step 2: Convert to fraction form
    2,944.07/4,413.14 = 1,300.32/x
  3. Step 3: Cross multiply
    2,944.07x = 4,413.14 × 1,300.32
  4. Step 4: Simplify right side
    2,944.07x = 5,738,487.70
  5. Step 5: Solve for x
    x = 5,738,487.70/2,944.07
  6. Step 6: Final answer
    x = 1,949.17

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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.