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Finding the Fourth Proportional to 2,940.84, 4,413.12 and 1,643.16

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Solution

The fourth proportional to 2,940.84, 4,413.12 and 1,643.16 is: 2,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.84 : 4,413.12 = 1,643.16 : x
  2. Step 2: Convert to fraction form
    2,940.84/4,413.12 = 1,643.16/x
  3. Step 3: Cross multiply
    2,940.84x = 4,413.12 × 1,643.16
  4. Step 4: Simplify right side
    2,940.84x = 7,251,462.26
  5. Step 5: Solve for x
    x = 7,251,462.26/2,940.84
  6. Step 6: Final answer
    x = 2,465.78

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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.