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Finding the Fourth Proportional to 1,932.42, 2,663.16 and 1,372.92

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Solution

The fourth proportional to 1,932.42, 2,663.16 and 1,372.92 is: 1,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.42 : 2,663.16 = 1,372.92 : x
  2. Step 2: Convert to fraction form
    1,932.42/2,663.16 = 1,372.92/x
  3. Step 3: Cross multiply
    1,932.42x = 2,663.16 × 1,372.92
  4. Step 4: Simplify right side
    1,932.42x = 3,656,305.63
  5. Step 5: Solve for x
    x = 3,656,305.63/1,932.42
  6. Step 6: Final answer
    x = 1,892.09

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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.