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Finding the Fourth Proportional to 3,012.88, 4,518.85 and 821.78

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Solution

The fourth proportional to 3,012.88, 4,518.85 and 821.78 is: 1,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.88 : 4,518.85 = 821.78 : x
  2. Step 2: Convert to fraction form
    3,012.88/4,518.85 = 821.78/x
  3. Step 3: Cross multiply
    3,012.88x = 4,518.85 × 821.78
  4. Step 4: Simplify right side
    3,012.88x = 3,713,500.55
  5. Step 5: Solve for x
    x = 3,713,500.55/3,012.88
  6. Step 6: Final answer
    x = 1,232.54

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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.