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Finding the Fourth Proportional to 2,344.80, 3,236.40 and 1,413.60

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Solution

The fourth proportional to 2,344.80, 3,236.40 and 1,413.60 is: 1,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.80 : 3,236.40 = 1,413.60 : x
  2. Step 2: Convert to fraction form
    2,344.80/3,236.40 = 1,413.60/x
  3. Step 3: Cross multiply
    2,344.80x = 3,236.40 × 1,413.60
  4. Step 4: Simplify right side
    2,344.80x = 4,574,975.04
  5. Step 5: Solve for x
    x = 4,574,975.04/2,344.80
  6. Step 6: Final answer
    x = 1,951.12

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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.