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Finding the Fourth Proportional to 3,020.90, 4,531.55 and 829.85

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Solution

The fourth proportional to 3,020.90, 4,531.55 and 829.85 is: 1,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.90 : 4,531.55 = 829.85 : x
  2. Step 2: Convert to fraction form
    3,020.90/4,531.55 = 829.85/x
  3. Step 3: Cross multiply
    3,020.90x = 4,531.55 × 829.85
  4. Step 4: Simplify right side
    3,020.90x = 3,760,479.96
  5. Step 5: Solve for x
    x = 3,760,479.96/3,020.90
  6. Step 6: Final answer
    x = 1,244.82

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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.