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Finding the Fourth Proportional to 2,221.96, 3,066.31 and 1,277.81

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Solution

The fourth proportional to 2,221.96, 3,066.31 and 1,277.81 is: 1,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.96 : 3,066.31 = 1,277.81 : x
  2. Step 2: Convert to fraction form
    2,221.96/3,066.31 = 1,277.81/x
  3. Step 3: Cross multiply
    2,221.96x = 3,066.31 × 1,277.81
  4. Step 4: Simplify right side
    2,221.96x = 3,918,161.58
  5. Step 5: Solve for x
    x = 3,918,161.58/2,221.96
  6. Step 6: Final answer
    x = 1,763.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.