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Finding the Fourth Proportional to 3,012.60, 4,519.24 and 821.36

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Solution

The fourth proportional to 3,012.60, 4,519.24 and 821.36 is: 1,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.60 : 4,519.24 = 821.36 : x
  2. Step 2: Convert to fraction form
    3,012.60/4,519.24 = 821.36/x
  3. Step 3: Cross multiply
    3,012.60x = 4,519.24 × 821.36
  4. Step 4: Simplify right side
    3,012.60x = 3,711,922.97
  5. Step 5: Solve for x
    x = 3,711,922.97/3,012.60
  6. Step 6: Final answer
    x = 1,232.13

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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.