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Finding the Fourth Proportional to 3,070.94, 4,611.02 and 1,843.84

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Solution

The fourth proportional to 3,070.94, 4,611.02 and 1,843.84 is: 2,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.94 : 4,611.02 = 1,843.84 : x
  2. Step 2: Convert to fraction form
    3,070.94/4,611.02 = 1,843.84/x
  3. Step 3: Cross multiply
    3,070.94x = 4,611.02 × 1,843.84
  4. Step 4: Simplify right side
    3,070.94x = 8,501,983.12
  5. Step 5: Solve for x
    x = 8,501,983.12/3,070.94
  6. Step 6: Final answer
    x = 2,768.53

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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.