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Finding the Fourth Proportional to 3,013.31, 4,519.15 and 821.52

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Solution

The fourth proportional to 3,013.31, 4,519.15 and 821.52 is: 1,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.31 : 4,519.15 = 821.52 : x
  2. Step 2: Convert to fraction form
    3,013.31/4,519.15 = 821.52/x
  3. Step 3: Cross multiply
    3,013.31x = 4,519.15 × 821.52
  4. Step 4: Simplify right side
    3,013.31x = 3,712,556.19
  5. Step 5: Solve for x
    x = 3,712,556.19/3,013.31
  6. Step 6: Final answer
    x = 1,232.05

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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.