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Finding the Fourth Proportional to 2,169.40, 2,993.25 and 1,285.42

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Solution

The fourth proportional to 2,169.40, 2,993.25 and 1,285.42 is: 1,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.40 : 2,993.25 = 1,285.42 : x
  2. Step 2: Convert to fraction form
    2,169.40/2,993.25 = 1,285.42/x
  3. Step 3: Cross multiply
    2,169.40x = 2,993.25 × 1,285.42
  4. Step 4: Simplify right side
    2,169.40x = 3,847,583.42
  5. Step 5: Solve for x
    x = 3,847,583.42/2,169.40
  6. Step 6: Final answer
    x = 1,773.57

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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.