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Finding the Fourth Proportional to 2,469.93, 3,705.50 and 1,740.93

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Solution

The fourth proportional to 2,469.93, 3,705.50 and 1,740.93 is: 2,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.93 : 3,705.50 = 1,740.93 : x
  2. Step 2: Convert to fraction form
    2,469.93/3,705.50 = 1,740.93/x
  3. Step 3: Cross multiply
    2,469.93x = 3,705.50 × 1,740.93
  4. Step 4: Simplify right side
    2,469.93x = 6,451,007.41
  5. Step 5: Solve for x
    x = 6,451,007.41/2,469.93
  6. Step 6: Final answer
    x = 2,611.82

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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.