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Finding the Fourth Proportional to 1,396.32, 1,922.68 and 1,209.82

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Solution

The fourth proportional to 1,396.32, 1,922.68 and 1,209.82 is: 1,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.32 : 1,922.68 = 1,209.82 : x
  2. Step 2: Convert to fraction form
    1,396.32/1,922.68 = 1,209.82/x
  3. Step 3: Cross multiply
    1,396.32x = 1,922.68 × 1,209.82
  4. Step 4: Simplify right side
    1,396.32x = 2,326,096.72
  5. Step 5: Solve for x
    x = 2,326,096.72/1,396.32
  6. Step 6: Final answer
    x = 1,665.88

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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.