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Finding the Fourth Proportional to 2,413.02, 3,330.62 and 1,418.62

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Solution

The fourth proportional to 2,413.02, 3,330.62 and 1,418.62 is: 1,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.02 : 3,330.62 = 1,418.62 : x
  2. Step 2: Convert to fraction form
    2,413.02/3,330.62 = 1,418.62/x
  3. Step 3: Cross multiply
    2,413.02x = 3,330.62 × 1,418.62
  4. Step 4: Simplify right side
    2,413.02x = 4,724,884.14
  5. Step 5: Solve for x
    x = 4,724,884.14/2,413.02
  6. Step 6: Final answer
    x = 1,958.08

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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.