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Finding the Fourth Proportional to 2,473.48, 3,413.46 and 1,425.64

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Solution

The fourth proportional to 2,473.48, 3,413.46 and 1,425.64 is: 1,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.48 : 3,413.46 = 1,425.64 : x
  2. Step 2: Convert to fraction form
    2,473.48/3,413.46 = 1,425.64/x
  3. Step 3: Cross multiply
    2,473.48x = 3,413.46 × 1,425.64
  4. Step 4: Simplify right side
    2,473.48x = 4,866,365.11
  5. Step 5: Solve for x
    x = 4,866,365.11/2,473.48
  6. Step 6: Final answer
    x = 1,967.42

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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.