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Finding the Fourth Proportional to 2,370.77, 3,551.39 and 1,181.22

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Solution

The fourth proportional to 2,370.77, 3,551.39 and 1,181.22 is: 1,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.77 : 3,551.39 = 1,181.22 : x
  2. Step 2: Convert to fraction form
    2,370.77/3,551.39 = 1,181.22/x
  3. Step 3: Cross multiply
    2,370.77x = 3,551.39 × 1,181.22
  4. Step 4: Simplify right side
    2,370.77x = 4,194,974.75
  5. Step 5: Solve for x
    x = 4,194,974.75/2,370.77
  6. Step 6: Final answer
    x = 1,769.46

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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.