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Finding the Fourth Proportional to 2,169.14, 2,993.68 and 1,285.28

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Solution

The fourth proportional to 2,169.14, 2,993.68 and 1,285.28 is: 1,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.14 : 2,993.68 = 1,285.28 : x
  2. Step 2: Convert to fraction form
    2,169.14/2,993.68 = 1,285.28/x
  3. Step 3: Cross multiply
    2,169.14x = 2,993.68 × 1,285.28
  4. Step 4: Simplify right side
    2,169.14x = 3,847,698.85
  5. Step 5: Solve for x
    x = 3,847,698.85/2,169.14
  6. Step 6: Final answer
    x = 1,773.84

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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.