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Finding the Fourth Proportional to 2,136.80, 3,203 and 1,357.37

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Solution

The fourth proportional to 2,136.80, 3,203 and 1,357.37 is: 2,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.80 : 3,203 = 1,357.37 : x
  2. Step 2: Convert to fraction form
    2,136.80/3,203 = 1,357.37/x
  3. Step 3: Cross multiply
    2,136.80x = 3,203 × 1,357.37
  4. Step 4: Simplify right side
    2,136.80x = 4,347,656.11
  5. Step 5: Solve for x
    x = 4,347,656.11/2,136.80
  6. Step 6: Final answer
    x = 2,034.66

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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.