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Finding the Fourth Proportional to 3,136.81, 4,705.41 and 2,256.90

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Solution

The fourth proportional to 3,136.81, 4,705.41 and 2,256.90 is: 3,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.81 : 4,705.41 = 2,256.90 : x
  2. Step 2: Convert to fraction form
    3,136.81/4,705.41 = 2,256.90/x
  3. Step 3: Cross multiply
    3,136.81x = 4,705.41 × 2,256.90
  4. Step 4: Simplify right side
    3,136.81x = 10,619,639.83
  5. Step 5: Solve for x
    x = 10,619,639.83/3,136.81
  6. Step 6: Final answer
    x = 3,385.49

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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.