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Finding the Fourth Proportional to 1,778.77, 2,451.76 and 1,189.09

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Solution

The fourth proportional to 1,778.77, 2,451.76 and 1,189.09 is: 1,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.77 : 2,451.76 = 1,189.09 : x
  2. Step 2: Convert to fraction form
    1,778.77/2,451.76 = 1,189.09/x
  3. Step 3: Cross multiply
    1,778.77x = 2,451.76 × 1,189.09
  4. Step 4: Simplify right side
    1,778.77x = 2,915,363.30
  5. Step 5: Solve for x
    x = 2,915,363.30/1,778.77
  6. Step 6: Final answer
    x = 1,638.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.