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Finding the Fourth Proportional to 3,013.42, 4,519.41 and 821.62

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Solution

The fourth proportional to 3,013.42, 4,519.41 and 821.62 is: 1,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.42 : 4,519.41 = 821.62 : x
  2. Step 2: Convert to fraction form
    3,013.42/4,519.41 = 821.62/x
  3. Step 3: Cross multiply
    3,013.42x = 4,519.41 × 821.62
  4. Step 4: Simplify right side
    3,013.42x = 3,713,254.85
  5. Step 5: Solve for x
    x = 3,713,254.85/3,013.42
  6. Step 6: Final answer
    x = 1,232.24

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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.