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Finding the Fourth Proportional to 1,375.82, 2,059.20 and 1,185.74

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Solution

The fourth proportional to 1,375.82, 2,059.20 and 1,185.74 is: 1,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.82 : 2,059.20 = 1,185.74 : x
  2. Step 2: Convert to fraction form
    1,375.82/2,059.20 = 1,185.74/x
  3. Step 3: Cross multiply
    1,375.82x = 2,059.20 × 1,185.74
  4. Step 4: Simplify right side
    1,375.82x = 2,441,675.81
  5. Step 5: Solve for x
    x = 2,441,675.81/1,375.82
  6. Step 6: Final answer
    x = 1,774.71

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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.