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Finding the Fourth Proportional to 2,876.31, 3,967.37 and 1,755.82

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Solution

The fourth proportional to 2,876.31, 3,967.37 and 1,755.82 is: 2,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.31 : 3,967.37 = 1,755.82 : x
  2. Step 2: Convert to fraction form
    2,876.31/3,967.37 = 1,755.82/x
  3. Step 3: Cross multiply
    2,876.31x = 3,967.37 × 1,755.82
  4. Step 4: Simplify right side
    2,876.31x = 6,965,968.90
  5. Step 5: Solve for x
    x = 6,965,968.90/2,876.31
  6. Step 6: Final answer
    x = 2,421.84

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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.