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Finding the Fourth Proportional to 2,474.34, 3,413.43 and 1,425.80

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Solution

The fourth proportional to 2,474.34, 3,413.43 and 1,425.80 is: 1,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.34 : 3,413.43 = 1,425.80 : x
  2. Step 2: Convert to fraction form
    2,474.34/3,413.43 = 1,425.80/x
  3. Step 3: Cross multiply
    2,474.34x = 3,413.43 × 1,425.80
  4. Step 4: Simplify right side
    2,474.34x = 4,866,868.49
  5. Step 5: Solve for x
    x = 4,866,868.49/2,474.34
  6. Step 6: Final answer
    x = 1,966.94

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