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Finding the Fourth Proportional to 2,086.70, 3,126.42 and 1,467.50

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Solution

The fourth proportional to 2,086.70, 3,126.42 and 1,467.50 is: 2,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.70 : 3,126.42 = 1,467.50 : x
  2. Step 2: Convert to fraction form
    2,086.70/3,126.42 = 1,467.50/x
  3. Step 3: Cross multiply
    2,086.70x = 3,126.42 × 1,467.50
  4. Step 4: Simplify right side
    2,086.70x = 4,588,021.35
  5. Step 5: Solve for x
    x = 4,588,021.35/2,086.70
  6. Step 6: Final answer
    x = 2,198.70

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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.