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Finding the Fourth Proportional to 3,020.59, 4,530.06 and 828.80

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Solution

The fourth proportional to 3,020.59, 4,530.06 and 828.80 is: 1,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.59 : 4,530.06 = 828.80 : x
  2. Step 2: Convert to fraction form
    3,020.59/4,530.06 = 828.80/x
  3. Step 3: Cross multiply
    3,020.59x = 4,530.06 × 828.80
  4. Step 4: Simplify right side
    3,020.59x = 3,754,513.73
  5. Step 5: Solve for x
    x = 3,754,513.73/3,020.59
  6. Step 6: Final answer
    x = 1,242.97

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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.