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Finding the Fourth Proportional to 2,501.28, 3,451.28 and 1,382.00

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Solution

The fourth proportional to 2,501.28, 3,451.28 and 1,382.00 is: 1,906.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.28 : 3,451.28 = 1,382.00 : x
  2. Step 2: Convert to fraction form
    2,501.28/3,451.28 = 1,382.00/x
  3. Step 3: Cross multiply
    2,501.28x = 3,451.28 × 1,382.00
  4. Step 4: Simplify right side
    2,501.28x = 4,769,644.79
  5. Step 5: Solve for x
    x = 4,769,644.79/2,501.28
  6. Step 6: Final answer
    x = 1,906.88

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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.