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Finding the Fourth Proportional to 1,206.95, 1,806.78 and 1,091.45

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Solution

The fourth proportional to 1,206.95, 1,806.78 and 1,091.45 is: 1,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.95 : 1,806.78 = 1,091.45 : x
  2. Step 2: Convert to fraction form
    1,206.95/1,806.78 = 1,091.45/x
  3. Step 3: Cross multiply
    1,206.95x = 1,806.78 × 1,091.45
  4. Step 4: Simplify right side
    1,206.95x = 1,972,010.49
  5. Step 5: Solve for x
    x = 1,972,010.49/1,206.95
  6. Step 6: Final answer
    x = 1,633.88

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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.