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Finding the Fourth Proportional to 2,108.79, 3,164 and 937.98

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Solution

The fourth proportional to 2,108.79, 3,164 and 937.98 is: 1,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.79 : 3,164 = 937.98 : x
  2. Step 2: Convert to fraction form
    2,108.79/3,164 = 937.98/x
  3. Step 3: Cross multiply
    2,108.79x = 3,164 × 937.98
  4. Step 4: Simplify right side
    2,108.79x = 2,967,768.72
  5. Step 5: Solve for x
    x = 2,967,768.72/2,108.79
  6. Step 6: Final answer
    x = 1,407.33

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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.