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Finding the Fourth Proportional to 2,413.60, 3,330.64 and 1,365.60

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Solution

The fourth proportional to 2,413.60, 3,330.64 and 1,365.60 is: 1,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.60 : 3,330.64 = 1,365.60 : x
  2. Step 2: Convert to fraction form
    2,413.60/3,330.64 = 1,365.60/x
  3. Step 3: Cross multiply
    2,413.60x = 3,330.64 × 1,365.60
  4. Step 4: Simplify right side
    2,413.60x = 4,548,321.98
  5. Step 5: Solve for x
    x = 4,548,321.98/2,413.60
  6. Step 6: Final answer
    x = 1,884.46

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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.