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Finding the Fourth Proportional to 2,110.63, 3,166 and 723.96

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Solution

The fourth proportional to 2,110.63, 3,166 and 723.96 is: 1,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.63 : 3,166 = 723.96 : x
  2. Step 2: Convert to fraction form
    2,110.63/3,166 = 723.96/x
  3. Step 3: Cross multiply
    2,110.63x = 3,166 × 723.96
  4. Step 4: Simplify right side
    2,110.63x = 2,292,057.36
  5. Step 5: Solve for x
    x = 2,292,057.36/2,110.63
  6. Step 6: Final answer
    x = 1,085.96

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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.