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Finding the Fourth Proportional to 2,777.25, 3,832.62 and 1,518.32

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Solution

The fourth proportional to 2,777.25, 3,832.62 and 1,518.32 is: 2,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.25 : 3,832.62 = 1,518.32 : x
  2. Step 2: Convert to fraction form
    2,777.25/3,832.62 = 1,518.32/x
  3. Step 3: Cross multiply
    2,777.25x = 3,832.62 × 1,518.32
  4. Step 4: Simplify right side
    2,777.25x = 5,819,149.38
  5. Step 5: Solve for x
    x = 5,819,149.38/2,777.25
  6. Step 6: Final answer
    x = 2,095.29

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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.