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Finding the Fourth Proportional to 2,574.54, 3,550.38 and 2,297.52

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Solution

The fourth proportional to 2,574.54, 3,550.38 and 2,297.52 is: 3,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.54 : 3,550.38 = 2,297.52 : x
  2. Step 2: Convert to fraction form
    2,574.54/3,550.38 = 2,297.52/x
  3. Step 3: Cross multiply
    2,574.54x = 3,550.38 × 2,297.52
  4. Step 4: Simplify right side
    2,574.54x = 8,157,069.06
  5. Step 5: Solve for x
    x = 8,157,069.06/2,574.54
  6. Step 6: Final answer
    x = 3,168.36

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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.