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Finding the Fourth Proportional to 3,027.92, 4,540.79 and 947.30

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Solution

The fourth proportional to 3,027.92, 4,540.79 and 947.30 is: 1,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.92 : 4,540.79 = 947.30 : x
  2. Step 2: Convert to fraction form
    3,027.92/4,540.79 = 947.30/x
  3. Step 3: Cross multiply
    3,027.92x = 4,540.79 × 947.30
  4. Step 4: Simplify right side
    3,027.92x = 4,301,470.03
  5. Step 5: Solve for x
    x = 4,301,470.03/3,027.92
  6. Step 6: Final answer
    x = 1,420.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.