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Finding the Fourth Proportional to 2,677.44, 4,014 and 1,636.32

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Solution

The fourth proportional to 2,677.44, 4,014 and 1,636.32 is: 2,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.44 : 4,014 = 1,636.32 : x
  2. Step 2: Convert to fraction form
    2,677.44/4,014 = 1,636.32/x
  3. Step 3: Cross multiply
    2,677.44x = 4,014 × 1,636.32
  4. Step 4: Simplify right side
    2,677.44x = 6,568,188.48
  5. Step 5: Solve for x
    x = 6,568,188.48/2,677.44
  6. Step 6: Final answer
    x = 2,453.16

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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.