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Finding the Fourth Proportional to 2,136.60, 3,202.47 and 1,266.66

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Solution

The fourth proportional to 2,136.60, 3,202.47 and 1,266.66 is: 1,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.60 : 3,202.47 = 1,266.66 : x
  2. Step 2: Convert to fraction form
    2,136.60/3,202.47 = 1,266.66/x
  3. Step 3: Cross multiply
    2,136.60x = 3,202.47 × 1,266.66
  4. Step 4: Simplify right side
    2,136.60x = 4,056,440.65
  5. Step 5: Solve for x
    x = 4,056,440.65/2,136.60
  6. Step 6: Final answer
    x = 1,898.55

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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.