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Finding the Fourth Proportional to 3,092.96, 4,639.98 and 1,705.70

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Solution

The fourth proportional to 3,092.96, 4,639.98 and 1,705.70 is: 2,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.96 : 4,639.98 = 1,705.70 : x
  2. Step 2: Convert to fraction form
    3,092.96/4,639.98 = 1,705.70/x
  3. Step 3: Cross multiply
    3,092.96x = 4,639.98 × 1,705.70
  4. Step 4: Simplify right side
    3,092.96x = 7,914,413.89
  5. Step 5: Solve for x
    x = 7,914,413.89/3,092.96
  6. Step 6: Final answer
    x = 2,558.85

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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.