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Finding the Fourth Proportional to 3,137.98, 4,705.14 and 1,676.33

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Solution

The fourth proportional to 3,137.98, 4,705.14 and 1,676.33 is: 2,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.98 : 4,705.14 = 1,676.33 : x
  2. Step 2: Convert to fraction form
    3,137.98/4,705.14 = 1,676.33/x
  3. Step 3: Cross multiply
    3,137.98x = 4,705.14 × 1,676.33
  4. Step 4: Simplify right side
    3,137.98x = 7,887,394.21
  5. Step 5: Solve for x
    x = 7,887,394.21/3,137.98
  6. Step 6: Final answer
    x = 2,513.53

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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.