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Finding the Fourth Proportional to 3,164.86, 4,749.09 and 1,703.98

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Solution

The fourth proportional to 3,164.86, 4,749.09 and 1,703.98 is: 2,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.86 : 4,749.09 = 1,703.98 : x
  2. Step 2: Convert to fraction form
    3,164.86/4,749.09 = 1,703.98/x
  3. Step 3: Cross multiply
    3,164.86x = 4,749.09 × 1,703.98
  4. Step 4: Simplify right side
    3,164.86x = 8,092,354.38
  5. Step 5: Solve for x
    x = 8,092,354.38/3,164.86
  6. Step 6: Final answer
    x = 2,556.94

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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.