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Finding the Fourth Proportional to 3,026.45, 4,539.17 and 834.68

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Solution

The fourth proportional to 3,026.45, 4,539.17 and 834.68 is: 1,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.45 : 4,539.17 = 834.68 : x
  2. Step 2: Convert to fraction form
    3,026.45/4,539.17 = 834.68/x
  3. Step 3: Cross multiply
    3,026.45x = 4,539.17 × 834.68
  4. Step 4: Simplify right side
    3,026.45x = 3,788,727.55
  5. Step 5: Solve for x
    x = 3,788,727.55/3,026.45
  6. Step 6: Final answer
    x = 1,251.87

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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.