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Finding the Fourth Proportional to 3,413.42, 4,710.80 and 1,921.25

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Solution

The fourth proportional to 3,413.42, 4,710.80 and 1,921.25 is: 2,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.42 : 4,710.80 = 1,921.25 : x
  2. Step 2: Convert to fraction form
    3,413.42/4,710.80 = 1,921.25/x
  3. Step 3: Cross multiply
    3,413.42x = 4,710.80 × 1,921.25
  4. Step 4: Simplify right side
    3,413.42x = 9,050,591.34
  5. Step 5: Solve for x
    x = 9,050,591.34/3,413.42
  6. Step 6: Final answer
    x = 2,651.48

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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.