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Finding the Fourth Proportional to 1,592.88, 2,383.11 and 1,396.32

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Solution

The fourth proportional to 1,592.88, 2,383.11 and 1,396.32 is: 2,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.88 : 2,383.11 = 1,396.32 : x
  2. Step 2: Convert to fraction form
    1,592.88/2,383.11 = 1,396.32/x
  3. Step 3: Cross multiply
    1,592.88x = 2,383.11 × 1,396.32
  4. Step 4: Simplify right side
    1,592.88x = 3,327,584.16
  5. Step 5: Solve for x
    x = 3,327,584.16/1,592.88
  6. Step 6: Final answer
    x = 2,089.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.