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Finding the Fourth Proportional to 3,259.92, 4,889.64 and 951.12

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Solution

The fourth proportional to 3,259.92, 4,889.64 and 951.12 is: 1,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.92 : 4,889.64 = 951.12 : x
  2. Step 2: Convert to fraction form
    3,259.92/4,889.64 = 951.12/x
  3. Step 3: Cross multiply
    3,259.92x = 4,889.64 × 951.12
  4. Step 4: Simplify right side
    3,259.92x = 4,650,634.40
  5. Step 5: Solve for x
    x = 4,650,634.40/3,259.92
  6. Step 6: Final answer
    x = 1,426.61

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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.