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Finding the Fourth Proportional to 2,473.75, 3,413.78 and 1,426.15

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Solution

The fourth proportional to 2,473.75, 3,413.78 and 1,426.15 is: 1,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.75 : 3,413.78 = 1,426.15 : x
  2. Step 2: Convert to fraction form
    2,473.75/3,413.78 = 1,426.15/x
  3. Step 3: Cross multiply
    2,473.75x = 3,413.78 × 1,426.15
  4. Step 4: Simplify right side
    2,473.75x = 4,868,562.35
  5. Step 5: Solve for x
    x = 4,868,562.35/2,473.75
  6. Step 6: Final answer
    x = 1,968.09

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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.