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Finding the Fourth Proportional to 2,672.66, 3,684.48 and 2,359.46

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Solution

The fourth proportional to 2,672.66, 3,684.48 and 2,359.46 is: 3,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.66 : 3,684.48 = 2,359.46 : x
  2. Step 2: Convert to fraction form
    2,672.66/3,684.48 = 2,359.46/x
  3. Step 3: Cross multiply
    2,672.66x = 3,684.48 × 2,359.46
  4. Step 4: Simplify right side
    2,672.66x = 8,693,383.18
  5. Step 5: Solve for x
    x = 8,693,383.18/2,672.66
  6. Step 6: Final answer
    x = 3,252.71

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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.