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Finding the Fourth Proportional to 2,471.20, 3,413.14 and 1,968.75

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Solution

The fourth proportional to 2,471.20, 3,413.14 and 1,968.75 is: 2,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.20 : 3,413.14 = 1,968.75 : x
  2. Step 2: Convert to fraction form
    2,471.20/3,413.14 = 1,968.75/x
  3. Step 3: Cross multiply
    2,471.20x = 3,413.14 × 1,968.75
  4. Step 4: Simplify right side
    2,471.20x = 6,719,614.45
  5. Step 5: Solve for x
    x = 6,719,614.45/2,471.20
  6. Step 6: Final answer
    x = 2,719.17

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1.5x scale

Why These Related Problems?

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