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Finding the Fourth Proportional to 2,167.96, 2,992.46 and 1,237.08

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Solution

The fourth proportional to 2,167.96, 2,992.46 and 1,237.08 is: 1,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.96 : 2,992.46 = 1,237.08 : x
  2. Step 2: Convert to fraction form
    2,167.96/2,992.46 = 1,237.08/x
  3. Step 3: Cross multiply
    2,167.96x = 2,992.46 × 1,237.08
  4. Step 4: Simplify right side
    2,167.96x = 3,701,912.42
  5. Step 5: Solve for x
    x = 3,701,912.42/2,167.96
  6. Step 6: Final answer
    x = 1,707.56

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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.