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Finding the Fourth Proportional to 1,463.67, 2,191.44 and 1,139.67

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Solution

The fourth proportional to 1,463.67, 2,191.44 and 1,139.67 is: 1,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.67 : 2,191.44 = 1,139.67 : x
  2. Step 2: Convert to fraction form
    1,463.67/2,191.44 = 1,139.67/x
  3. Step 3: Cross multiply
    1,463.67x = 2,191.44 × 1,139.67
  4. Step 4: Simplify right side
    1,463.67x = 2,497,522.70
  5. Step 5: Solve for x
    x = 2,497,522.70/1,463.67
  6. Step 6: Final answer
    x = 1,706.34

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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.