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Finding the Fourth Proportional to 2,034.36, 3,051.31 and 1,380.44

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Solution

The fourth proportional to 2,034.36, 3,051.31 and 1,380.44 is: 2,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.36 : 3,051.31 = 1,380.44 : x
  2. Step 2: Convert to fraction form
    2,034.36/3,051.31 = 1,380.44/x
  3. Step 3: Cross multiply
    2,034.36x = 3,051.31 × 1,380.44
  4. Step 4: Simplify right side
    2,034.36x = 4,212,150.38
  5. Step 5: Solve for x
    x = 4,212,150.38/2,034.36
  6. Step 6: Final answer
    x = 2,070.50

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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.