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Finding the Fourth Proportional to 2,136.60, 3,201.30 and 1,405.80

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Solution

The fourth proportional to 2,136.60, 3,201.30 and 1,405.80 is: 2,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.60 : 3,201.30 = 1,405.80 : x
  2. Step 2: Convert to fraction form
    2,136.60/3,201.30 = 1,405.80/x
  3. Step 3: Cross multiply
    2,136.60x = 3,201.30 × 1,405.80
  4. Step 4: Simplify right side
    2,136.60x = 4,500,387.54
  5. Step 5: Solve for x
    x = 4,500,387.54/2,136.60
  6. Step 6: Final answer
    x = 2,106.33

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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.