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Finding the Fourth Proportional to 2,617.14, 3,927.06 and 1,446.93

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Solution

The fourth proportional to 2,617.14, 3,927.06 and 1,446.93 is: 2,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.14 : 3,927.06 = 1,446.93 : x
  2. Step 2: Convert to fraction form
    2,617.14/3,927.06 = 1,446.93/x
  3. Step 3: Cross multiply
    2,617.14x = 3,927.06 × 1,446.93
  4. Step 4: Simplify right side
    2,617.14x = 5,682,180.93
  5. Step 5: Solve for x
    x = 5,682,180.93/2,617.14
  6. Step 6: Final answer
    x = 2,171.14

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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.