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Finding the Fourth Proportional to 3,256.96, 4,885.67 and 1,309.17

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Solution

The fourth proportional to 3,256.96, 4,885.67 and 1,309.17 is: 1,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.96 : 4,885.67 = 1,309.17 : x
  2. Step 2: Convert to fraction form
    3,256.96/4,885.67 = 1,309.17/x
  3. Step 3: Cross multiply
    3,256.96x = 4,885.67 × 1,309.17
  4. Step 4: Simplify right side
    3,256.96x = 6,396,172.59
  5. Step 5: Solve for x
    x = 6,396,172.59/3,256.96
  6. Step 6: Final answer
    x = 1,963.85

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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.