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Finding the Fourth Proportional to 2,114.91, 3,172.14 and 944.94

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Solution

The fourth proportional to 2,114.91, 3,172.14 and 944.94 is: 1,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.91 : 3,172.14 = 944.94 : x
  2. Step 2: Convert to fraction form
    2,114.91/3,172.14 = 944.94/x
  3. Step 3: Cross multiply
    2,114.91x = 3,172.14 × 944.94
  4. Step 4: Simplify right side
    2,114.91x = 2,997,481.97
  5. Step 5: Solve for x
    x = 2,997,481.97/2,114.91
  6. Step 6: Final answer
    x = 1,417.31

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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.