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Finding the Fourth Proportional to 2,731.64, 3,770.27 and 1,669.78

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Solution

The fourth proportional to 2,731.64, 3,770.27 and 1,669.78 is: 2,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.64 : 3,770.27 = 1,669.78 : x
  2. Step 2: Convert to fraction form
    2,731.64/3,770.27 = 1,669.78/x
  3. Step 3: Cross multiply
    2,731.64x = 3,770.27 × 1,669.78
  4. Step 4: Simplify right side
    2,731.64x = 6,295,509.93
  5. Step 5: Solve for x
    x = 6,295,509.93/2,731.64
  6. Step 6: Final answer
    x = 2,304.66

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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.