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Finding the Fourth Proportional to 3,204.84, 4,807.74 and 1,012.86

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Solution

The fourth proportional to 3,204.84, 4,807.74 and 1,012.86 is: 1,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.84 : 4,807.74 = 1,012.86 : x
  2. Step 2: Convert to fraction form
    3,204.84/4,807.74 = 1,012.86/x
  3. Step 3: Cross multiply
    3,204.84x = 4,807.74 × 1,012.86
  4. Step 4: Simplify right side
    3,204.84x = 4,869,567.54
  5. Step 5: Solve for x
    x = 4,869,567.54/3,204.84
  6. Step 6: Final answer
    x = 1,519.44

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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.