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Finding the Fourth Proportional to 2,474.60, 3,413.97 and 1,412.08

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Solution

The fourth proportional to 2,474.60, 3,413.97 and 1,412.08 is: 1,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.60 : 3,413.97 = 1,412.08 : x
  2. Step 2: Convert to fraction form
    2,474.60/3,413.97 = 1,412.08/x
  3. Step 3: Cross multiply
    2,474.60x = 3,413.97 × 1,412.08
  4. Step 4: Simplify right side
    2,474.60x = 4,820,790.22
  5. Step 5: Solve for x
    x = 4,820,790.22/2,474.60
  6. Step 6: Final answer
    x = 1,948.11

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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.