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Finding the Fourth Proportional to 1,179.21, 1,755.90 and 1,166.16

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Solution

The fourth proportional to 1,179.21, 1,755.90 and 1,166.16 is: 1,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.21 : 1,755.90 = 1,166.16 : x
  2. Step 2: Convert to fraction form
    1,179.21/1,755.90 = 1,166.16/x
  3. Step 3: Cross multiply
    1,179.21x = 1,755.90 × 1,166.16
  4. Step 4: Simplify right side
    1,179.21x = 2,047,660.34
  5. Step 5: Solve for x
    x = 2,047,660.34/1,179.21
  6. Step 6: Final answer
    x = 1,736.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.