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Finding the Fourth Proportional to 2,459.92, 3,409.34 and 2,413.84

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Solution

The fourth proportional to 2,459.92, 3,409.34 and 2,413.84 is: 3,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.92 : 3,409.34 = 2,413.84 : x
  2. Step 2: Convert to fraction form
    2,459.92/3,409.34 = 2,413.84/x
  3. Step 3: Cross multiply
    2,459.92x = 3,409.34 × 2,413.84
  4. Step 4: Simplify right side
    2,459.92x = 8,229,601.27
  5. Step 5: Solve for x
    x = 8,229,601.27/2,459.92
  6. Step 6: Final answer
    x = 3,345.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.