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Finding the Fourth Proportional to 1,353.41, 2,028.29 and 1,193.03

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Solution

The fourth proportional to 1,353.41, 2,028.29 and 1,193.03 is: 1,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.41 : 2,028.29 = 1,193.03 : x
  2. Step 2: Convert to fraction form
    1,353.41/2,028.29 = 1,193.03/x
  3. Step 3: Cross multiply
    1,353.41x = 2,028.29 × 1,193.03
  4. Step 4: Simplify right side
    1,353.41x = 2,419,810.82
  5. Step 5: Solve for x
    x = 2,419,810.82/1,353.41
  6. Step 6: Final answer
    x = 1,787.94

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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.