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Finding the Fourth Proportional to 2,087.98, 2,884.22 and 1,671.31

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Solution

The fourth proportional to 2,087.98, 2,884.22 and 1,671.31 is: 2,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.98 : 2,884.22 = 1,671.31 : x
  2. Step 2: Convert to fraction form
    2,087.98/2,884.22 = 1,671.31/x
  3. Step 3: Cross multiply
    2,087.98x = 2,884.22 × 1,671.31
  4. Step 4: Simplify right side
    2,087.98x = 4,820,427.24
  5. Step 5: Solve for x
    x = 4,820,427.24/2,087.98
  6. Step 6: Final answer
    x = 2,308.66

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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.