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Finding the Fourth Proportional to 2,666.61, 3,679.50 and 1,604.12

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Solution

The fourth proportional to 2,666.61, 3,679.50 and 1,604.12 is: 2,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.61 : 3,679.50 = 1,604.12 : x
  2. Step 2: Convert to fraction form
    2,666.61/3,679.50 = 1,604.12/x
  3. Step 3: Cross multiply
    2,666.61x = 3,679.50 × 1,604.12
  4. Step 4: Simplify right side
    2,666.61x = 5,902,359.54
  5. Step 5: Solve for x
    x = 5,902,359.54/2,666.61
  6. Step 6: Final answer
    x = 2,213.43

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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.