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Finding the Fourth Proportional to 1,846.94, 2,770.74 and 1,115.64

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Solution

The fourth proportional to 1,846.94, 2,770.74 and 1,115.64 is: 1,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.94 : 2,770.74 = 1,115.64 : x
  2. Step 2: Convert to fraction form
    1,846.94/2,770.74 = 1,115.64/x
  3. Step 3: Cross multiply
    1,846.94x = 2,770.74 × 1,115.64
  4. Step 4: Simplify right side
    1,846.94x = 3,091,148.37
  5. Step 5: Solve for x
    x = 3,091,148.37/1,846.94
  6. Step 6: Final answer
    x = 1,673.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.