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Finding the Fourth Proportional to 3,050.77, 4,576.44 and 829.63

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Solution

The fourth proportional to 3,050.77, 4,576.44 and 829.63 is: 1,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.77 : 4,576.44 = 829.63 : x
  2. Step 2: Convert to fraction form
    3,050.77/4,576.44 = 829.63/x
  3. Step 3: Cross multiply
    3,050.77x = 4,576.44 × 829.63
  4. Step 4: Simplify right side
    3,050.77x = 3,796,729.04
  5. Step 5: Solve for x
    x = 3,796,729.04/3,050.77
  6. Step 6: Final answer
    x = 1,244.52

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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.