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Finding the Fourth Proportional to 1,945.82, 2,933.10 and 1,832.96

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Solution

The fourth proportional to 1,945.82, 2,933.10 and 1,832.96 is: 2,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.82 : 2,933.10 = 1,832.96 : x
  2. Step 2: Convert to fraction form
    1,945.82/2,933.10 = 1,832.96/x
  3. Step 3: Cross multiply
    1,945.82x = 2,933.10 × 1,832.96
  4. Step 4: Simplify right side
    1,945.82x = 5,376,262.31
  5. Step 5: Solve for x
    x = 5,376,262.31/1,945.82
  6. Step 6: Final answer
    x = 2,762.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.