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Finding the Fourth Proportional to 3,204.66, 4,807.59 and 1,012.80

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Solution

The fourth proportional to 3,204.66, 4,807.59 and 1,012.80 is: 1,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.66 : 4,807.59 = 1,012.80 : x
  2. Step 2: Convert to fraction form
    3,204.66/4,807.59 = 1,012.80/x
  3. Step 3: Cross multiply
    3,204.66x = 4,807.59 × 1,012.80
  4. Step 4: Simplify right side
    3,204.66x = 4,869,127.15
  5. Step 5: Solve for x
    x = 4,869,127.15/3,204.66
  6. Step 6: Final answer
    x = 1,519.39

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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.