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Finding the Fourth Proportional to 2,912.58, 4,019.24 and 1,586.28

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Solution

The fourth proportional to 2,912.58, 4,019.24 and 1,586.28 is: 2,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.58 : 4,019.24 = 1,586.28 : x
  2. Step 2: Convert to fraction form
    2,912.58/4,019.24 = 1,586.28/x
  3. Step 3: Cross multiply
    2,912.58x = 4,019.24 × 1,586.28
  4. Step 4: Simplify right side
    2,912.58x = 6,375,640.03
  5. Step 5: Solve for x
    x = 6,375,640.03/2,912.58
  6. Step 6: Final answer
    x = 2,189.00

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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.