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Finding the Fourth Proportional to 2,100.66, 3,144.25 and 1,396.25

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Solution

The fourth proportional to 2,100.66, 3,144.25 and 1,396.25 is: 2,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.66 : 3,144.25 = 1,396.25 : x
  2. Step 2: Convert to fraction form
    2,100.66/3,144.25 = 1,396.25/x
  3. Step 3: Cross multiply
    2,100.66x = 3,144.25 × 1,396.25
  4. Step 4: Simplify right side
    2,100.66x = 4,390,136.36
  5. Step 5: Solve for x
    x = 4,390,136.36/2,100.66
  6. Step 6: Final answer
    x = 2,089.89

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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.