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Finding the Fourth Proportional to 2,169.57, 2,994.39 and 1,285.86

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Solution

The fourth proportional to 2,169.57, 2,994.39 and 1,285.86 is: 1,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.57 : 2,994.39 = 1,285.86 : x
  2. Step 2: Convert to fraction form
    2,169.57/2,994.39 = 1,285.86/x
  3. Step 3: Cross multiply
    2,169.57x = 2,994.39 × 1,285.86
  4. Step 4: Simplify right side
    2,169.57x = 3,850,366.33
  5. Step 5: Solve for x
    x = 3,850,366.33/2,169.57
  6. Step 6: Final answer
    x = 1,774.71

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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.