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Finding the Fourth Proportional to 3,361.46, 4,636.02 and 2,166.70

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Solution

The fourth proportional to 3,361.46, 4,636.02 and 2,166.70 is: 2,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.46 : 4,636.02 = 2,166.70 : x
  2. Step 2: Convert to fraction form
    3,361.46/4,636.02 = 2,166.70/x
  3. Step 3: Cross multiply
    3,361.46x = 4,636.02 × 2,166.70
  4. Step 4: Simplify right side
    3,361.46x = 10,044,864.53
  5. Step 5: Solve for x
    x = 10,044,864.53/3,361.46
  6. Step 6: Final answer
    x = 2,988.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.