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Finding the Fourth Proportional to 1,983.27, 2,974.67 and 522.53

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Solution

The fourth proportional to 1,983.27, 2,974.67 and 522.53 is: 783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.27 : 2,974.67 = 522.53 : x
  2. Step 2: Convert to fraction form
    1,983.27/2,974.67 = 522.53/x
  3. Step 3: Cross multiply
    1,983.27x = 2,974.67 × 522.53
  4. Step 4: Simplify right side
    1,983.27x = 1,554,359.14
  5. Step 5: Solve for x
    x = 1,554,359.14/1,983.27
  6. Step 6: Final answer
    x = 783.74

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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.