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Finding the Fourth Proportional to 2,473.86, 3,413.70 and 1,411.68

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Solution

The fourth proportional to 2,473.86, 3,413.70 and 1,411.68 is: 1,947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.86 : 3,413.70 = 1,411.68 : x
  2. Step 2: Convert to fraction form
    2,473.86/3,413.70 = 1,411.68/x
  3. Step 3: Cross multiply
    2,473.86x = 3,413.70 × 1,411.68
  4. Step 4: Simplify right side
    2,473.86x = 4,819,052.02
  5. Step 5: Solve for x
    x = 4,819,052.02/2,473.86
  6. Step 6: Final answer
    x = 1,947.99

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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.