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Finding the Fourth Proportional to 2,172.26, 3,256.16 and 938.63

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Solution

The fourth proportional to 2,172.26, 3,256.16 and 938.63 is: 1,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.26 : 3,256.16 = 938.63 : x
  2. Step 2: Convert to fraction form
    2,172.26/3,256.16 = 938.63/x
  3. Step 3: Cross multiply
    2,172.26x = 3,256.16 × 938.63
  4. Step 4: Simplify right side
    2,172.26x = 3,056,332.91
  5. Step 5: Solve for x
    x = 3,056,332.91/2,172.26
  6. Step 6: Final answer
    x = 1,406.98

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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.