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Finding the Fourth Proportional to 3,217.67, 4,826.82 and 1,269.42

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Solution

The fourth proportional to 3,217.67, 4,826.82 and 1,269.42 is: 1,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.67 : 4,826.82 = 1,269.42 : x
  2. Step 2: Convert to fraction form
    3,217.67/4,826.82 = 1,269.42/x
  3. Step 3: Cross multiply
    3,217.67x = 4,826.82 × 1,269.42
  4. Step 4: Simplify right side
    3,217.67x = 6,127,264.94
  5. Step 5: Solve for x
    x = 6,127,264.94/3,217.67
  6. Step 6: Final answer
    x = 1,904.25

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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.