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Finding the Fourth Proportional to 1,672.58, 2,308.07 and 1,082.09

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Solution

The fourth proportional to 1,672.58, 2,308.07 and 1,082.09 is: 1,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.58 : 2,308.07 = 1,082.09 : x
  2. Step 2: Convert to fraction form
    1,672.58/2,308.07 = 1,082.09/x
  3. Step 3: Cross multiply
    1,672.58x = 2,308.07 × 1,082.09
  4. Step 4: Simplify right side
    1,672.58x = 2,497,522.52
  5. Step 5: Solve for x
    x = 2,497,522.52/1,672.58
  6. Step 6: Final answer
    x = 1,493.22

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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.