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Finding the Fourth Proportional to 1,391.46, 2,084.19 and 1,309.67

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Solution

The fourth proportional to 1,391.46, 2,084.19 and 1,309.67 is: 1,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.46 : 2,084.19 = 1,309.67 : x
  2. Step 2: Convert to fraction form
    1,391.46/2,084.19 = 1,309.67/x
  3. Step 3: Cross multiply
    1,391.46x = 2,084.19 × 1,309.67
  4. Step 4: Simplify right side
    1,391.46x = 2,729,605.32
  5. Step 5: Solve for x
    x = 2,729,605.32/1,391.46
  6. Step 6: Final answer
    x = 1,961.68

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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.