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Finding the Fourth Proportional to 1,622.70, 2,431.96 and 1,413.62

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Solution

The fourth proportional to 1,622.70, 2,431.96 and 1,413.62 is: 2,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.70 : 2,431.96 = 1,413.62 : x
  2. Step 2: Convert to fraction form
    1,622.70/2,431.96 = 1,413.62/x
  3. Step 3: Cross multiply
    1,622.70x = 2,431.96 × 1,413.62
  4. Step 4: Simplify right side
    1,622.70x = 3,437,867.30
  5. Step 5: Solve for x
    x = 3,437,867.30/1,622.70
  6. Step 6: Final answer
    x = 2,118.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.