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Finding the Fourth Proportional to 2,413.68, 3,330.68 and 1,366

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Solution

The fourth proportional to 2,413.68, 3,330.68 and 1,366 is: 1,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.68 : 3,330.68 = 1,366 : x
  2. Step 2: Convert to fraction form
    2,413.68/3,330.68 = 1,366/x
  3. Step 3: Cross multiply
    2,413.68x = 3,330.68 × 1,366
  4. Step 4: Simplify right side
    2,413.68x = 4,549,708.88
  5. Step 5: Solve for x
    x = 4,549,708.88/2,413.68
  6. Step 6: Final answer
    x = 1,884.97

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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.