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Finding the Fourth Proportional to 4,230.20, 6,345.30 and 2,043.20

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Solution

The fourth proportional to 4,230.20, 6,345.30 and 2,043.20 is: 3,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.20 : 6,345.30 = 2,043.20 : x
  2. Step 2: Convert to fraction form
    4,230.20/6,345.30 = 2,043.20/x
  3. Step 3: Cross multiply
    4,230.20x = 6,345.30 × 2,043.20
  4. Step 4: Simplify right side
    4,230.20x = 12,964,716.96
  5. Step 5: Solve for x
    x = 12,964,716.96/4,230.20
  6. Step 6: Final answer
    x = 3,064.80

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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.