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Finding the Fourth Proportional to 3,114.69, 4,297.75 and 2,451.30

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Solution

The fourth proportional to 3,114.69, 4,297.75 and 2,451.30 is: 3,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.69 : 4,297.75 = 2,451.30 : x
  2. Step 2: Convert to fraction form
    3,114.69/4,297.75 = 2,451.30/x
  3. Step 3: Cross multiply
    3,114.69x = 4,297.75 × 2,451.30
  4. Step 4: Simplify right side
    3,114.69x = 10,535,074.58
  5. Step 5: Solve for x
    x = 10,535,074.58/3,114.69
  6. Step 6: Final answer
    x = 3,382.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.