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Finding the Fourth Proportional to 2,666.31, 3,994.60 and 1,965.25

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Solution

The fourth proportional to 2,666.31, 3,994.60 and 1,965.25 is: 2,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.31 : 3,994.60 = 1,965.25 : x
  2. Step 2: Convert to fraction form
    2,666.31/3,994.60 = 1,965.25/x
  3. Step 3: Cross multiply
    2,666.31x = 3,994.60 × 1,965.25
  4. Step 4: Simplify right side
    2,666.31x = 7,850,387.65
  5. Step 5: Solve for x
    x = 7,850,387.65/2,666.31
  6. Step 6: Final answer
    x = 2,944.29

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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.