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Finding the Fourth Proportional to 1,208.80, 1,747.90 and 1,208.80

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Solution

The fourth proportional to 1,208.80, 1,747.90 and 1,208.80 is: 1,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.80 : 1,747.90 = 1,208.80 : x
  2. Step 2: Convert to fraction form
    1,208.80/1,747.90 = 1,208.80/x
  3. Step 3: Cross multiply
    1,208.80x = 1,747.90 × 1,208.80
  4. Step 4: Simplify right side
    1,208.80x = 2,112,861.52
  5. Step 5: Solve for x
    x = 2,112,861.52/1,208.80
  6. Step 6: Final answer
    x = 1,747.90

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.