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Finding the Fourth Proportional to 1,627.24, 2,245.56 and 881.19

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Solution

The fourth proportional to 1,627.24, 2,245.56 and 881.19 is: 1,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.24 : 2,245.56 = 881.19 : x
  2. Step 2: Convert to fraction form
    1,627.24/2,245.56 = 881.19/x
  3. Step 3: Cross multiply
    1,627.24x = 2,245.56 × 881.19
  4. Step 4: Simplify right side
    1,627.24x = 1,978,765.02
  5. Step 5: Solve for x
    x = 1,978,765.02/1,627.24
  6. Step 6: Final answer
    x = 1,216.03

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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.