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Finding the Fourth Proportional to 2,028.56, 3,041.22 and 873.50

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Solution

The fourth proportional to 2,028.56, 3,041.22 and 873.50 is: 1,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.56 : 3,041.22 = 873.50 : x
  2. Step 2: Convert to fraction form
    2,028.56/3,041.22 = 873.50/x
  3. Step 3: Cross multiply
    2,028.56x = 3,041.22 × 873.50
  4. Step 4: Simplify right side
    2,028.56x = 2,656,505.67
  5. Step 5: Solve for x
    x = 2,656,505.67/2,028.56
  6. Step 6: Final answer
    x = 1,309.55

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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.