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Finding the Fourth Proportional to 2,172.94, 3,260.22 and 939.86

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Solution

The fourth proportional to 2,172.94, 3,260.22 and 939.86 is: 1,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.94 : 3,260.22 = 939.86 : x
  2. Step 2: Convert to fraction form
    2,172.94/3,260.22 = 939.86/x
  3. Step 3: Cross multiply
    2,172.94x = 3,260.22 × 939.86
  4. Step 4: Simplify right side
    2,172.94x = 3,064,150.37
  5. Step 5: Solve for x
    x = 3,064,150.37/2,172.94
  6. Step 6: Final answer
    x = 1,410.14

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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.