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Finding the Fourth Proportional to 1,966.05, 2,945.16 and 1,186.26

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Solution

The fourth proportional to 1,966.05, 2,945.16 and 1,186.26 is: 1,777.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.05 : 2,945.16 = 1,186.26 : x
  2. Step 2: Convert to fraction form
    1,966.05/2,945.16 = 1,186.26/x
  3. Step 3: Cross multiply
    1,966.05x = 2,945.16 × 1,186.26
  4. Step 4: Simplify right side
    1,966.05x = 3,493,725.50
  5. Step 5: Solve for x
    x = 3,493,725.50/1,966.05
  6. Step 6: Final answer
    x = 1,777.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.