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Finding the Fourth Proportional to 3,217.66, 4,826.66 and 1,026.34

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Solution

The fourth proportional to 3,217.66, 4,826.66 and 1,026.34 is: 1,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.66 : 4,826.66 = 1,026.34 : x
  2. Step 2: Convert to fraction form
    3,217.66/4,826.66 = 1,026.34/x
  3. Step 3: Cross multiply
    3,217.66x = 4,826.66 × 1,026.34
  4. Step 4: Simplify right side
    3,217.66x = 4,953,794.22
  5. Step 5: Solve for x
    x = 4,953,794.22/3,217.66
  6. Step 6: Final answer
    x = 1,539.56

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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.