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Finding the Fourth Proportional to 2,178.70, 3,266.33 and 1,082.46

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Solution

The fourth proportional to 2,178.70, 3,266.33 and 1,082.46 is: 1,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.70 : 3,266.33 = 1,082.46 : x
  2. Step 2: Convert to fraction form
    2,178.70/3,266.33 = 1,082.46/x
  3. Step 3: Cross multiply
    2,178.70x = 3,266.33 × 1,082.46
  4. Step 4: Simplify right side
    2,178.70x = 3,535,678.41
  5. Step 5: Solve for x
    x = 3,535,678.41/2,178.70
  6. Step 6: Final answer
    x = 1,622.84

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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.