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Finding the Fourth Proportional to 2,912.70, 4,019.49 and 1,586.37

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Solution

The fourth proportional to 2,912.70, 4,019.49 and 1,586.37 is: 2,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.70 : 4,019.49 = 1,586.37 : x
  2. Step 2: Convert to fraction form
    2,912.70/4,019.49 = 1,586.37/x
  3. Step 3: Cross multiply
    2,912.70x = 4,019.49 × 1,586.37
  4. Step 4: Simplify right side
    2,912.70x = 6,376,401.08
  5. Step 5: Solve for x
    x = 6,376,401.08/2,912.70
  6. Step 6: Final answer
    x = 2,189.17

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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.