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Finding the Fourth Proportional to 1,191.16, 1,771.53 and 1,167.80

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Solution

The fourth proportional to 1,191.16, 1,771.53 and 1,167.80 is: 1,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.16 : 1,771.53 = 1,167.80 : x
  2. Step 2: Convert to fraction form
    1,191.16/1,771.53 = 1,167.80/x
  3. Step 3: Cross multiply
    1,191.16x = 1,771.53 × 1,167.80
  4. Step 4: Simplify right side
    1,191.16x = 2,068,797.16
  5. Step 5: Solve for x
    x = 2,068,797.16/1,191.16
  6. Step 6: Final answer
    x = 1,736.80

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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.