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Finding the Fourth Proportional to 2,777.37, 3,832.75 and 1,518.40

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Solution

The fourth proportional to 2,777.37, 3,832.75 and 1,518.40 is: 2,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.37 : 3,832.75 = 1,518.40 : x
  2. Step 2: Convert to fraction form
    2,777.37/3,832.75 = 1,518.40/x
  3. Step 3: Cross multiply
    2,777.37x = 3,832.75 × 1,518.40
  4. Step 4: Simplify right side
    2,777.37x = 5,819,647.60
  5. Step 5: Solve for x
    x = 5,819,647.60/2,777.37
  6. Step 6: Final answer
    x = 2,095.38

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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.