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Finding the Fourth Proportional to 2,090.44, 2,878.23 and 1,591.48

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Solution

The fourth proportional to 2,090.44, 2,878.23 and 1,591.48 is: 2,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.44 : 2,878.23 = 1,591.48 : x
  2. Step 2: Convert to fraction form
    2,090.44/2,878.23 = 1,591.48/x
  3. Step 3: Cross multiply
    2,090.44x = 2,878.23 × 1,591.48
  4. Step 4: Simplify right side
    2,090.44x = 4,580,645.48
  5. Step 5: Solve for x
    x = 4,580,645.48/2,090.44
  6. Step 6: Final answer
    x = 2,191.24

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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.