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Finding the Fourth Proportional to 2,144.94, 3,217.41 and 1,714.83

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Solution

The fourth proportional to 2,144.94, 3,217.41 and 1,714.83 is: 2,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.94 : 3,217.41 = 1,714.83 : x
  2. Step 2: Convert to fraction form
    2,144.94/3,217.41 = 1,714.83/x
  3. Step 3: Cross multiply
    2,144.94x = 3,217.41 × 1,714.83
  4. Step 4: Simplify right side
    2,144.94x = 5,517,311.19
  5. Step 5: Solve for x
    x = 5,517,311.19/2,144.94
  6. Step 6: Final answer
    x = 2,572.25

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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.