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Finding the Fourth Proportional to 1,846.68, 2,770.56 and 1,232.88

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Solution

The fourth proportional to 1,846.68, 2,770.56 and 1,232.88 is: 1,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.68 : 2,770.56 = 1,232.88 : x
  2. Step 2: Convert to fraction form
    1,846.68/2,770.56 = 1,232.88/x
  3. Step 3: Cross multiply
    1,846.68x = 2,770.56 × 1,232.88
  4. Step 4: Simplify right side
    1,846.68x = 3,415,768.01
  5. Step 5: Solve for x
    x = 3,415,768.01/1,846.68
  6. Step 6: Final answer
    x = 1,849.68

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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.