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Finding the Fourth Proportional to 1,795.44, 2,692 and 1,449.20

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Solution

The fourth proportional to 1,795.44, 2,692 and 1,449.20 is: 2,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.44 : 2,692 = 1,449.20 : x
  2. Step 2: Convert to fraction form
    1,795.44/2,692 = 1,449.20/x
  3. Step 3: Cross multiply
    1,795.44x = 2,692 × 1,449.20
  4. Step 4: Simplify right side
    1,795.44x = 3,901,246.40
  5. Step 5: Solve for x
    x = 3,901,246.40/1,795.44
  6. Step 6: Final answer
    x = 2,172.86

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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.