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Finding the Fourth Proportional to 2,846.67, 3,927.47 and 1,666.91

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Solution

The fourth proportional to 2,846.67, 3,927.47 and 1,666.91 is: 2,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.67 : 3,927.47 = 1,666.91 : x
  2. Step 2: Convert to fraction form
    2,846.67/3,927.47 = 1,666.91/x
  3. Step 3: Cross multiply
    2,846.67x = 3,927.47 × 1,666.91
  4. Step 4: Simplify right side
    2,846.67x = 6,546,711.05
  5. Step 5: Solve for x
    x = 6,546,711.05/2,846.67
  6. Step 6: Final answer
    x = 2,299.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.