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Finding the Fourth Proportional to 3,020.34, 4,529.69 and 828.55

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Solution

The fourth proportional to 3,020.34, 4,529.69 and 828.55 is: 1,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.34 : 4,529.69 = 828.55 : x
  2. Step 2: Convert to fraction form
    3,020.34/4,529.69 = 828.55/x
  3. Step 3: Cross multiply
    3,020.34x = 4,529.69 × 828.55
  4. Step 4: Simplify right side
    3,020.34x = 3,753,059.18
  5. Step 5: Solve for x
    x = 3,753,059.18/3,020.34
  6. Step 6: Final answer
    x = 1,242.59

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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.