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Finding the Fourth Proportional to 2,051.92, 3,072.36 and 1,075.96

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Solution

The fourth proportional to 2,051.92, 3,072.36 and 1,075.96 is: 1,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.92 : 3,072.36 = 1,075.96 : x
  2. Step 2: Convert to fraction form
    2,051.92/3,072.36 = 1,075.96/x
  3. Step 3: Cross multiply
    2,051.92x = 3,072.36 × 1,075.96
  4. Step 4: Simplify right side
    2,051.92x = 3,305,736.47
  5. Step 5: Solve for x
    x = 3,305,736.47/2,051.92
  6. Step 6: Final answer
    x = 1,611.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.