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Finding the Fourth Proportional to 3,263.83, 4,895.74 and 1,413.99

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Solution

The fourth proportional to 3,263.83, 4,895.74 and 1,413.99 is: 2,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.83 : 4,895.74 = 1,413.99 : x
  2. Step 2: Convert to fraction form
    3,263.83/4,895.74 = 1,413.99/x
  3. Step 3: Cross multiply
    3,263.83x = 4,895.74 × 1,413.99
  4. Step 4: Simplify right side
    3,263.83x = 6,922,529.17
  5. Step 5: Solve for x
    x = 6,922,529.17/3,263.83
  6. Step 6: Final answer
    x = 2,120.99

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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.