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Finding the Fourth Proportional to 2,439.23, 3,659.30 and 858.11

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Solution

The fourth proportional to 2,439.23, 3,659.30 and 858.11 is: 1,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.23 : 3,659.30 = 858.11 : x
  2. Step 2: Convert to fraction form
    2,439.23/3,659.30 = 858.11/x
  3. Step 3: Cross multiply
    2,439.23x = 3,659.30 × 858.11
  4. Step 4: Simplify right side
    2,439.23x = 3,140,059.34
  5. Step 5: Solve for x
    x = 3,140,059.34/2,439.23
  6. Step 6: Final answer
    x = 1,287.32

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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.