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Finding the Fourth Proportional to 1,520.28, 2,279.28 and 1,434.48

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Solution

The fourth proportional to 1,520.28, 2,279.28 and 1,434.48 is: 2,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.28 : 2,279.28 = 1,434.48 : x
  2. Step 2: Convert to fraction form
    1,520.28/2,279.28 = 1,434.48/x
  3. Step 3: Cross multiply
    1,520.28x = 2,279.28 × 1,434.48
  4. Step 4: Simplify right side
    1,520.28x = 3,269,581.57
  5. Step 5: Solve for x
    x = 3,269,581.57/1,520.28
  6. Step 6: Final answer
    x = 2,150.64

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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.