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Finding the Fourth Proportional to 4,219.66, 6,330.21 and 1,297.90

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Solution

The fourth proportional to 4,219.66, 6,330.21 and 1,297.90 is: 1,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.66 : 6,330.21 = 1,297.90 : x
  2. Step 2: Convert to fraction form
    4,219.66/6,330.21 = 1,297.90/x
  3. Step 3: Cross multiply
    4,219.66x = 6,330.21 × 1,297.90
  4. Step 4: Simplify right side
    4,219.66x = 8,215,979.56
  5. Step 5: Solve for x
    x = 8,215,979.56/4,219.66
  6. Step 6: Final answer
    x = 1,947.07

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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.