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Finding the Fourth Proportional to 2,683.60, 4,025.13 and 736.09

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Solution

The fourth proportional to 2,683.60, 4,025.13 and 736.09 is: 1,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.60 : 4,025.13 = 736.09 : x
  2. Step 2: Convert to fraction form
    2,683.60/4,025.13 = 736.09/x
  3. Step 3: Cross multiply
    2,683.60x = 4,025.13 × 736.09
  4. Step 4: Simplify right side
    2,683.60x = 2,962,857.94
  5. Step 5: Solve for x
    x = 2,962,857.94/2,683.60
  6. Step 6: Final answer
    x = 1,104.06

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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.