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Finding the Fourth Proportional to 3,022.74, 4,533.56 and 831

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Solution

The fourth proportional to 3,022.74, 4,533.56 and 831 is: 1,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.74 : 4,533.56 = 831 : x
  2. Step 2: Convert to fraction form
    3,022.74/4,533.56 = 831/x
  3. Step 3: Cross multiply
    3,022.74x = 4,533.56 × 831
  4. Step 4: Simplify right side
    3,022.74x = 3,767,388.36
  5. Step 5: Solve for x
    x = 3,767,388.36/3,022.74
  6. Step 6: Final answer
    x = 1,246.35

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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.