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Finding the Fourth Proportional to 3,330.82, 4,996.71 and 1,022.50

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Solution

The fourth proportional to 3,330.82, 4,996.71 and 1,022.50 is: 1,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330.82 : 4,996.71 = 1,022.50 : x
  2. Step 2: Convert to fraction form
    3,330.82/4,996.71 = 1,022.50/x
  3. Step 3: Cross multiply
    3,330.82x = 4,996.71 × 1,022.50
  4. Step 4: Simplify right side
    3,330.82x = 5,109,135.98
  5. Step 5: Solve for x
    x = 5,109,135.98/3,330.82
  6. Step 6: Final answer
    x = 1,533.90

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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.