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Finding the Fourth Proportional to 1,983.33, 2,974.74 and 522.60

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Solution

The fourth proportional to 1,983.33, 2,974.74 and 522.60 is: 783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.33 : 2,974.74 = 522.60 : x
  2. Step 2: Convert to fraction form
    1,983.33/2,974.74 = 522.60/x
  3. Step 3: Cross multiply
    1,983.33x = 2,974.74 × 522.60
  4. Step 4: Simplify right side
    1,983.33x = 1,554,586.01
  5. Step 5: Solve for x
    x = 1,554,586.01/1,983.33
  6. Step 6: Final answer
    x = 783.83

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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.