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Finding the Fourth Proportional to 1,932.56, 2,667.66 and 1,269.98

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Solution

The fourth proportional to 1,932.56, 2,667.66 and 1,269.98 is: 1,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.56 : 2,667.66 = 1,269.98 : x
  2. Step 2: Convert to fraction form
    1,932.56/2,667.66 = 1,269.98/x
  3. Step 3: Cross multiply
    1,932.56x = 2,667.66 × 1,269.98
  4. Step 4: Simplify right side
    1,932.56x = 3,387,874.85
  5. Step 5: Solve for x
    x = 3,387,874.85/1,932.56
  6. Step 6: Final answer
    x = 1,753.05

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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.