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Finding the Fourth Proportional to 3,478.81, 4,800.96 and 2,063.34

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Solution

The fourth proportional to 3,478.81, 4,800.96 and 2,063.34 is: 2,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.81 : 4,800.96 = 2,063.34 : x
  2. Step 2: Convert to fraction form
    3,478.81/4,800.96 = 2,063.34/x
  3. Step 3: Cross multiply
    3,478.81x = 4,800.96 × 2,063.34
  4. Step 4: Simplify right side
    3,478.81x = 9,905,978.48
  5. Step 5: Solve for x
    x = 9,905,978.48/3,478.81
  6. Step 6: Final answer
    x = 2,847.52

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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.