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Finding the Fourth Proportional to 1,983.86, 2,975.93 and 523

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Solution

The fourth proportional to 1,983.86, 2,975.93 and 523 is: 784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.86 : 2,975.93 = 523 : x
  2. Step 2: Convert to fraction form
    1,983.86/2,975.93 = 523/x
  3. Step 3: Cross multiply
    1,983.86x = 2,975.93 × 523
  4. Step 4: Simplify right side
    1,983.86x = 1,556,411.39
  5. Step 5: Solve for x
    x = 1,556,411.39/1,983.86
  6. Step 6: Final answer
    x = 784.54

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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.