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Finding the Fourth Proportional to 2,057.71, 3,087.51 and 872.08

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Solution

The fourth proportional to 2,057.71, 3,087.51 and 872.08 is: 1,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.71 : 3,087.51 = 872.08 : x
  2. Step 2: Convert to fraction form
    2,057.71/3,087.51 = 872.08/x
  3. Step 3: Cross multiply
    2,057.71x = 3,087.51 × 872.08
  4. Step 4: Simplify right side
    2,057.71x = 2,692,546.43
  5. Step 5: Solve for x
    x = 2,692,546.43/2,057.71
  6. Step 6: Final answer
    x = 1,308.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.