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Finding the Fourth Proportional to 2,169.37, 3,254.12 and 936.55

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Solution

The fourth proportional to 2,169.37, 3,254.12 and 936.55 is: 1,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.37 : 3,254.12 = 936.55 : x
  2. Step 2: Convert to fraction form
    2,169.37/3,254.12 = 936.55/x
  3. Step 3: Cross multiply
    2,169.37x = 3,254.12 × 936.55
  4. Step 4: Simplify right side
    2,169.37x = 3,047,646.09
  5. Step 5: Solve for x
    x = 3,047,646.09/2,169.37
  6. Step 6: Final answer
    x = 1,404.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.