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Finding the Fourth Proportional to 3,026.28, 4,539.43 and 835.12

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Solution

The fourth proportional to 3,026.28, 4,539.43 and 835.12 is: 1,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.28 : 4,539.43 = 835.12 : x
  2. Step 2: Convert to fraction form
    3,026.28/4,539.43 = 835.12/x
  3. Step 3: Cross multiply
    3,026.28x = 4,539.43 × 835.12
  4. Step 4: Simplify right side
    3,026.28x = 3,790,968.78
  5. Step 5: Solve for x
    x = 3,790,968.78/3,026.28
  6. Step 6: Final answer
    x = 1,252.68

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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.