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Finding the Fourth Proportional to 2,413.12, 3,326.48 and 1,480

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Solution

The fourth proportional to 2,413.12, 3,326.48 and 1,480 is: 2,040.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.12 : 3,326.48 = 1,480 : x
  2. Step 2: Convert to fraction form
    2,413.12/3,326.48 = 1,480/x
  3. Step 3: Cross multiply
    2,413.12x = 3,326.48 × 1,480
  4. Step 4: Simplify right side
    2,413.12x = 4,923,190.40
  5. Step 5: Solve for x
    x = 4,923,190.40/2,413.12
  6. Step 6: Final answer
    x = 2,040.18

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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.