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Finding the Fourth Proportional to 3,013.16, 4,519.97 and 821.86

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Solution

The fourth proportional to 3,013.16, 4,519.97 and 821.86 is: 1,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.16 : 4,519.97 = 821.86 : x
  2. Step 2: Convert to fraction form
    3,013.16/4,519.97 = 821.86/x
  3. Step 3: Cross multiply
    3,013.16x = 4,519.97 × 821.86
  4. Step 4: Simplify right side
    3,013.16x = 3,714,782.54
  5. Step 5: Solve for x
    x = 3,714,782.54/3,013.16
  6. Step 6: Final answer
    x = 1,232.85

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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.