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Finding the Fourth Proportional to 3,323.23, 4,984.09 and 983.41

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Solution

The fourth proportional to 3,323.23, 4,984.09 and 983.41 is: 1,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.23 : 4,984.09 = 983.41 : x
  2. Step 2: Convert to fraction form
    3,323.23/4,984.09 = 983.41/x
  3. Step 3: Cross multiply
    3,323.23x = 4,984.09 × 983.41
  4. Step 4: Simplify right side
    3,323.23x = 4,901,389.03
  5. Step 5: Solve for x
    x = 4,901,389.03/3,323.23
  6. Step 6: Final answer
    x = 1,474.89

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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.