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Finding the Fourth Proportional to 2,167.75, 2,991.48 and 1,173.02

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Solution

The fourth proportional to 2,167.75, 2,991.48 and 1,173.02 is: 1,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.75 : 2,991.48 = 1,173.02 : x
  2. Step 2: Convert to fraction form
    2,167.75/2,991.48 = 1,173.02/x
  3. Step 3: Cross multiply
    2,167.75x = 2,991.48 × 1,173.02
  4. Step 4: Simplify right side
    2,167.75x = 3,509,069.94
  5. Step 5: Solve for x
    x = 3,509,069.94/2,167.75
  6. Step 6: Final answer
    x = 1,618.76

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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.