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Finding the Fourth Proportional to 2,122.96, 2,930.12 and 1,191.76

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Solution

The fourth proportional to 2,122.96, 2,930.12 and 1,191.76 is: 1,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.96 : 2,930.12 = 1,191.76 : x
  2. Step 2: Convert to fraction form
    2,122.96/2,930.12 = 1,191.76/x
  3. Step 3: Cross multiply
    2,122.96x = 2,930.12 × 1,191.76
  4. Step 4: Simplify right side
    2,122.96x = 3,491,999.81
  5. Step 5: Solve for x
    x = 3,491,999.81/2,122.96
  6. Step 6: Final answer
    x = 1,644.87

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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.