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Finding the Fourth Proportional to 2,777.83, 3,833.38 and 1,518.87

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Solution

The fourth proportional to 2,777.83, 3,833.38 and 1,518.87 is: 2,096.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.83 : 3,833.38 = 1,518.87 : x
  2. Step 2: Convert to fraction form
    2,777.83/3,833.38 = 1,518.87/x
  3. Step 3: Cross multiply
    2,777.83x = 3,833.38 × 1,518.87
  4. Step 4: Simplify right side
    2,777.83x = 5,822,405.88
  5. Step 5: Solve for x
    x = 5,822,405.88/2,777.83
  6. Step 6: Final answer
    x = 2,096.03

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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.