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Finding the Fourth Proportional to 1,121.67, 1,679.89 and 1,082.74

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Solution

The fourth proportional to 1,121.67, 1,679.89 and 1,082.74 is: 1,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.67 : 1,679.89 = 1,082.74 : x
  2. Step 2: Convert to fraction form
    1,121.67/1,679.89 = 1,082.74/x
  3. Step 3: Cross multiply
    1,121.67x = 1,679.89 × 1,082.74
  4. Step 4: Simplify right side
    1,121.67x = 1,818,875.70
  5. Step 5: Solve for x
    x = 1,818,875.70/1,121.67
  6. Step 6: Final answer
    x = 1,621.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.