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Finding the Fourth Proportional to 2,473.44, 3,413.34 and 1,425.50

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Solution

The fourth proportional to 2,473.44, 3,413.34 and 1,425.50 is: 1,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.44 : 3,413.34 = 1,425.50 : x
  2. Step 2: Convert to fraction form
    2,473.44/3,413.34 = 1,425.50/x
  3. Step 3: Cross multiply
    2,473.44x = 3,413.34 × 1,425.50
  4. Step 4: Simplify right side
    2,473.44x = 4,865,716.17
  5. Step 5: Solve for x
    x = 4,865,716.17/2,473.44
  6. Step 6: Final answer
    x = 1,967.19

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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.