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Finding the Fourth Proportional to 3,230.76, 4,847.58 and 1,282.44

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Solution

The fourth proportional to 3,230.76, 4,847.58 and 1,282.44 is: 1,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.76 : 4,847.58 = 1,282.44 : x
  2. Step 2: Convert to fraction form
    3,230.76/4,847.58 = 1,282.44/x
  3. Step 3: Cross multiply
    3,230.76x = 4,847.58 × 1,282.44
  4. Step 4: Simplify right side
    3,230.76x = 6,216,730.50
  5. Step 5: Solve for x
    x = 6,216,730.50/3,230.76
  6. Step 6: Final answer
    x = 1,924.23

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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.