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Finding the Fourth Proportional to 2,012.06, 3,019.73 and 1,038.44

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Solution

The fourth proportional to 2,012.06, 3,019.73 and 1,038.44 is: 1,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.06 : 3,019.73 = 1,038.44 : x
  2. Step 2: Convert to fraction form
    2,012.06/3,019.73 = 1,038.44/x
  3. Step 3: Cross multiply
    2,012.06x = 3,019.73 × 1,038.44
  4. Step 4: Simplify right side
    2,012.06x = 3,135,788.13
  5. Step 5: Solve for x
    x = 3,135,788.13/2,012.06
  6. Step 6: Final answer
    x = 1,558.50

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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.