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Finding the Fourth Proportional to 3,022.56, 4,533.18 and 1,540.22

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Solution

The fourth proportional to 3,022.56, 4,533.18 and 1,540.22 is: 2,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.56 : 4,533.18 = 1,540.22 : x
  2. Step 2: Convert to fraction form
    3,022.56/4,533.18 = 1,540.22/x
  3. Step 3: Cross multiply
    3,022.56x = 4,533.18 × 1,540.22
  4. Step 4: Simplify right side
    3,022.56x = 6,982,094.50
  5. Step 5: Solve for x
    x = 6,982,094.50/3,022.56
  6. Step 6: Final answer
    x = 2,309.99

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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.