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Finding the Fourth Proportional to 2,286.82, 3,430.64 and 1,192.11

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Solution

The fourth proportional to 2,286.82, 3,430.64 and 1,192.11 is: 1,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.82 : 3,430.64 = 1,192.11 : x
  2. Step 2: Convert to fraction form
    2,286.82/3,430.64 = 1,192.11/x
  3. Step 3: Cross multiply
    2,286.82x = 3,430.64 × 1,192.11
  4. Step 4: Simplify right side
    2,286.82x = 4,089,700.25
  5. Step 5: Solve for x
    x = 4,089,700.25/2,286.82
  6. Step 6: Final answer
    x = 1,788.38

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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.