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Finding the Fourth Proportional to 1,967.25, 2,715.18 and 1,170.75

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Solution

The fourth proportional to 1,967.25, 2,715.18 and 1,170.75 is: 1,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.25 : 2,715.18 = 1,170.75 : x
  2. Step 2: Convert to fraction form
    1,967.25/2,715.18 = 1,170.75/x
  3. Step 3: Cross multiply
    1,967.25x = 2,715.18 × 1,170.75
  4. Step 4: Simplify right side
    1,967.25x = 3,178,796.99
  5. Step 5: Solve for x
    x = 3,178,796.99/1,967.25
  6. Step 6: Final answer
    x = 1,615.86

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