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Finding the Fourth Proportional to 3,380.76, 4,665.80 and 1,889.20

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Solution

The fourth proportional to 3,380.76, 4,665.80 and 1,889.20 is: 2,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.76 : 4,665.80 = 1,889.20 : x
  2. Step 2: Convert to fraction form
    3,380.76/4,665.80 = 1,889.20/x
  3. Step 3: Cross multiply
    3,380.76x = 4,665.80 × 1,889.20
  4. Step 4: Simplify right side
    3,380.76x = 8,814,629.36
  5. Step 5: Solve for x
    x = 8,814,629.36/3,380.76
  6. Step 6: Final answer
    x = 2,607.29

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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.