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Finding the Fourth Proportional to 2,474.42, 3,413.42 and 1,677.80

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Solution

The fourth proportional to 2,474.42, 3,413.42 and 1,677.80 is: 2,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.42 : 3,413.42 = 1,677.80 : x
  2. Step 2: Convert to fraction form
    2,474.42/3,413.42 = 1,677.80/x
  3. Step 3: Cross multiply
    2,474.42x = 3,413.42 × 1,677.80
  4. Step 4: Simplify right side
    2,474.42x = 5,727,036.08
  5. Step 5: Solve for x
    x = 5,727,036.08/2,474.42
  6. Step 6: Final answer
    x = 2,314.50

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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.