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Finding the Fourth Proportional to 3,026.67, 4,539.20 and 835.22

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Solution

The fourth proportional to 3,026.67, 4,539.20 and 835.22 is: 1,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.67 : 4,539.20 = 835.22 : x
  2. Step 2: Convert to fraction form
    3,026.67/4,539.20 = 835.22/x
  3. Step 3: Cross multiply
    3,026.67x = 4,539.20 × 835.22
  4. Step 4: Simplify right side
    3,026.67x = 3,791,203.75
  5. Step 5: Solve for x
    x = 3,791,203.75/3,026.67
  6. Step 6: Final answer
    x = 1,252.60

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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.