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Finding the Fourth Proportional to 2,287.58, 3,431.75 and 900.18

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Solution

The fourth proportional to 2,287.58, 3,431.75 and 900.18 is: 1,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.58 : 3,431.75 = 900.18 : x
  2. Step 2: Convert to fraction form
    2,287.58/3,431.75 = 900.18/x
  3. Step 3: Cross multiply
    2,287.58x = 3,431.75 × 900.18
  4. Step 4: Simplify right side
    2,287.58x = 3,089,194.97
  5. Step 5: Solve for x
    x = 3,089,194.97/2,287.58
  6. Step 6: Final answer
    x = 1,350.42

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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.