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Finding the Fourth Proportional to 2,299.74, 3,171.78 and 1,413.96

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Solution

The fourth proportional to 2,299.74, 3,171.78 and 1,413.96 is: 1,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.74 : 3,171.78 = 1,413.96 : x
  2. Step 2: Convert to fraction form
    2,299.74/3,171.78 = 1,413.96/x
  3. Step 3: Cross multiply
    2,299.74x = 3,171.78 × 1,413.96
  4. Step 4: Simplify right side
    2,299.74x = 4,484,770.05
  5. Step 5: Solve for x
    x = 4,484,770.05/2,299.74
  6. Step 6: Final answer
    x = 1,950.12

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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.