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Finding the Fourth Proportional to 3,161.46, 4,741.48 and 1,775.42

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Solution

The fourth proportional to 3,161.46, 4,741.48 and 1,775.42 is: 2,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.46 : 4,741.48 = 1,775.42 : x
  2. Step 2: Convert to fraction form
    3,161.46/4,741.48 = 1,775.42/x
  3. Step 3: Cross multiply
    3,161.46x = 4,741.48 × 1,775.42
  4. Step 4: Simplify right side
    3,161.46x = 8,418,118.42
  5. Step 5: Solve for x
    x = 8,418,118.42/3,161.46
  6. Step 6: Final answer
    x = 2,662.73

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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.