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Finding the Fourth Proportional to 3,217.66, 4,817.10 and 1,981.36

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Solution

The fourth proportional to 3,217.66, 4,817.10 and 1,981.36 is: 2,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.66 : 4,817.10 = 1,981.36 : x
  2. Step 2: Convert to fraction form
    3,217.66/4,817.10 = 1,981.36/x
  3. Step 3: Cross multiply
    3,217.66x = 4,817.10 × 1,981.36
  4. Step 4: Simplify right side
    3,217.66x = 9,544,409.26
  5. Step 5: Solve for x
    x = 9,544,409.26/3,217.66
  6. Step 6: Final answer
    x = 2,966.26

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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.