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Finding the Fourth Proportional to 3,136.40, 4,706.60 and 1,494.80

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Solution

The fourth proportional to 3,136.40, 4,706.60 and 1,494.80 is: 2,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.40 : 4,706.60 = 1,494.80 : x
  2. Step 2: Convert to fraction form
    3,136.40/4,706.60 = 1,494.80/x
  3. Step 3: Cross multiply
    3,136.40x = 4,706.60 × 1,494.80
  4. Step 4: Simplify right side
    3,136.40x = 7,035,425.68
  5. Step 5: Solve for x
    x = 7,035,425.68/3,136.40
  6. Step 6: Final answer
    x = 2,243.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.