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Finding the Fourth Proportional to 1,932.90, 2,667.36 and 1,186.89

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Solution

The fourth proportional to 1,932.90, 2,667.36 and 1,186.89 is: 1,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.90 : 2,667.36 = 1,186.89 : x
  2. Step 2: Convert to fraction form
    1,932.90/2,667.36 = 1,186.89/x
  3. Step 3: Cross multiply
    1,932.90x = 2,667.36 × 1,186.89
  4. Step 4: Simplify right side
    1,932.90x = 3,165,862.91
  5. Step 5: Solve for x
    x = 3,165,862.91/1,932.90
  6. Step 6: Final answer
    x = 1,637.88

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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.