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Finding the Fourth Proportional to 1,395.20, 1,926.90 and 1,084.22

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Solution

The fourth proportional to 1,395.20, 1,926.90 and 1,084.22 is: 1,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.20 : 1,926.90 = 1,084.22 : x
  2. Step 2: Convert to fraction form
    1,395.20/1,926.90 = 1,084.22/x
  3. Step 3: Cross multiply
    1,395.20x = 1,926.90 × 1,084.22
  4. Step 4: Simplify right side
    1,395.20x = 2,089,183.52
  5. Step 5: Solve for x
    x = 2,089,183.52/1,395.20
  6. Step 6: Final answer
    x = 1,497.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.