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Finding the Fourth Proportional to 3,217.94, 4,826.82 and 1,026.80

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Solution

The fourth proportional to 3,217.94, 4,826.82 and 1,026.80 is: 1,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.94 : 4,826.82 = 1,026.80 : x
  2. Step 2: Convert to fraction form
    3,217.94/4,826.82 = 1,026.80/x
  3. Step 3: Cross multiply
    3,217.94x = 4,826.82 × 1,026.80
  4. Step 4: Simplify right side
    3,217.94x = 4,956,178.78
  5. Step 5: Solve for x
    x = 4,956,178.78/3,217.94
  6. Step 6: Final answer
    x = 1,540.17

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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.