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Finding the Fourth Proportional to 2,475.45, 3,413.84 and 1,679.93

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Solution

The fourth proportional to 2,475.45, 3,413.84 and 1,679.93 is: 2,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.45 : 3,413.84 = 1,679.93 : x
  2. Step 2: Convert to fraction form
    2,475.45/3,413.84 = 1,679.93/x
  3. Step 3: Cross multiply
    2,475.45x = 3,413.84 × 1,679.93
  4. Step 4: Simplify right side
    2,475.45x = 5,734,986.76
  5. Step 5: Solve for x
    x = 5,734,986.76/2,475.45
  6. Step 6: Final answer
    x = 2,316.75

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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.