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Finding the Fourth Proportional to 2,136.52, 3,206.34 and 1,405.84

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Solution

The fourth proportional to 2,136.52, 3,206.34 and 1,405.84 is: 2,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.52 : 3,206.34 = 1,405.84 : x
  2. Step 2: Convert to fraction form
    2,136.52/3,206.34 = 1,405.84/x
  3. Step 3: Cross multiply
    2,136.52x = 3,206.34 × 1,405.84
  4. Step 4: Simplify right side
    2,136.52x = 4,507,601.03
  5. Step 5: Solve for x
    x = 4,507,601.03/2,136.52
  6. Step 6: Final answer
    x = 2,109.79

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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.