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Finding the Fourth Proportional to 2,282.10, 3,419.10 and 2,136.30

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Solution

The fourth proportional to 2,282.10, 3,419.10 and 2,136.30 is: 3,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.10 : 3,419.10 = 2,136.30 : x
  2. Step 2: Convert to fraction form
    2,282.10/3,419.10 = 2,136.30/x
  3. Step 3: Cross multiply
    2,282.10x = 3,419.10 × 2,136.30
  4. Step 4: Simplify right side
    2,282.10x = 7,304,223.33
  5. Step 5: Solve for x
    x = 7,304,223.33/2,282.10
  6. Step 6: Final answer
    x = 3,200.66

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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.