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Finding the Fourth Proportional to 1,983.08, 2,974.50 and 522.23

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Solution

The fourth proportional to 1,983.08, 2,974.50 and 522.23 is: 783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.08 : 2,974.50 = 522.23 : x
  2. Step 2: Convert to fraction form
    1,983.08/2,974.50 = 522.23/x
  3. Step 3: Cross multiply
    1,983.08x = 2,974.50 × 522.23
  4. Step 4: Simplify right side
    1,983.08x = 1,553,373.14
  5. Step 5: Solve for x
    x = 1,553,373.14/1,983.08
  6. Step 6: Final answer
    x = 783.31

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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.