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Finding the Fourth Proportional to 2,151.54, 3,224.19 and 1,274.43

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Solution

The fourth proportional to 2,151.54, 3,224.19 and 1,274.43 is: 1,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.54 : 3,224.19 = 1,274.43 : x
  2. Step 2: Convert to fraction form
    2,151.54/3,224.19 = 1,274.43/x
  3. Step 3: Cross multiply
    2,151.54x = 3,224.19 × 1,274.43
  4. Step 4: Simplify right side
    2,151.54x = 4,109,004.46
  5. Step 5: Solve for x
    x = 4,109,004.46/2,151.54
  6. Step 6: Final answer
    x = 1,909.80

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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.