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Finding the Fourth Proportional to 3,324.45, 4,986.48 and 984.36

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Solution

The fourth proportional to 3,324.45, 4,986.48 and 984.36 is: 1,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.45 : 4,986.48 = 984.36 : x
  2. Step 2: Convert to fraction form
    3,324.45/4,986.48 = 984.36/x
  3. Step 3: Cross multiply
    3,324.45x = 4,986.48 × 984.36
  4. Step 4: Simplify right side
    3,324.45x = 4,908,491.45
  5. Step 5: Solve for x
    x = 4,908,491.45/3,324.45
  6. Step 6: Final answer
    x = 1,476.48

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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.