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Finding the Fourth Proportional to 1,353.68, 2,028.40 and 1,046.29

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Solution

The fourth proportional to 1,353.68, 2,028.40 and 1,046.29 is: 1,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.68 : 2,028.40 = 1,046.29 : x
  2. Step 2: Convert to fraction form
    1,353.68/2,028.40 = 1,046.29/x
  3. Step 3: Cross multiply
    1,353.68x = 2,028.40 × 1,046.29
  4. Step 4: Simplify right side
    1,353.68x = 2,122,286.95
  5. Step 5: Solve for x
    x = 2,122,286.95/1,353.68
  6. Step 6: Final answer
    x = 1,567.79

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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.