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Finding the Fourth Proportional to 3,026.01, 4,539.07 and 834.80

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Solution

The fourth proportional to 3,026.01, 4,539.07 and 834.80 is: 1,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.01 : 4,539.07 = 834.80 : x
  2. Step 2: Convert to fraction form
    3,026.01/4,539.07 = 834.80/x
  3. Step 3: Cross multiply
    3,026.01x = 4,539.07 × 834.80
  4. Step 4: Simplify right side
    3,026.01x = 3,789,215.64
  5. Step 5: Solve for x
    x = 3,789,215.64/3,026.01
  6. Step 6: Final answer
    x = 1,252.22

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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.