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Finding the Fourth Proportional to 1,983.74, 2,975.38 and 523

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Solution

The fourth proportional to 1,983.74, 2,975.38 and 523 is: 784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.74 : 2,975.38 = 523 : x
  2. Step 2: Convert to fraction form
    1,983.74/2,975.38 = 523/x
  3. Step 3: Cross multiply
    1,983.74x = 2,975.38 × 523
  4. Step 4: Simplify right side
    1,983.74x = 1,556,123.74
  5. Step 5: Solve for x
    x = 1,556,123.74/1,983.74
  6. Step 6: Final answer
    x = 784.44

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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.