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Finding the Fourth Proportional to 1,540.28, 2,125.74 and 919.28

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Solution

The fourth proportional to 1,540.28, 2,125.74 and 919.28 is: 1,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.28 : 2,125.74 = 919.28 : x
  2. Step 2: Convert to fraction form
    1,540.28/2,125.74 = 919.28/x
  3. Step 3: Cross multiply
    1,540.28x = 2,125.74 × 919.28
  4. Step 4: Simplify right side
    1,540.28x = 1,954,150.27
  5. Step 5: Solve for x
    x = 1,954,150.27/1,540.28
  6. Step 6: Final answer
    x = 1,268.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.