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Finding the Fourth Proportional to 2,136.60, 3,204.87 and 1,770.62

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Solution

The fourth proportional to 2,136.60, 3,204.87 and 1,770.62 is: 2,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.60 : 3,204.87 = 1,770.62 : x
  2. Step 2: Convert to fraction form
    2,136.60/3,204.87 = 1,770.62/x
  3. Step 3: Cross multiply
    2,136.60x = 3,204.87 × 1,770.62
  4. Step 4: Simplify right side
    2,136.60x = 5,674,584.26
  5. Step 5: Solve for x
    x = 5,674,584.26/2,136.60
  6. Step 6: Final answer
    x = 2,655.89

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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.