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Finding the Fourth Proportional to 2,205.06, 3,305.96 and 1,900.50

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Solution

The fourth proportional to 2,205.06, 3,305.96 and 1,900.50 is: 2,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.06 : 3,305.96 = 1,900.50 : x
  2. Step 2: Convert to fraction form
    2,205.06/3,305.96 = 1,900.50/x
  3. Step 3: Cross multiply
    2,205.06x = 3,305.96 × 1,900.50
  4. Step 4: Simplify right side
    2,205.06x = 6,282,976.98
  5. Step 5: Solve for x
    x = 6,282,976.98/2,205.06
  6. Step 6: Final answer
    x = 2,849.35

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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.