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Finding the Fourth Proportional to 2,820.42, 3,887.39 and 2,155.82

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Solution

The fourth proportional to 2,820.42, 3,887.39 and 2,155.82 is: 2,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.42 : 3,887.39 = 2,155.82 : x
  2. Step 2: Convert to fraction form
    2,820.42/3,887.39 = 2,155.82/x
  3. Step 3: Cross multiply
    2,820.42x = 3,887.39 × 2,155.82
  4. Step 4: Simplify right side
    2,820.42x = 8,380,499.06
  5. Step 5: Solve for x
    x = 8,380,499.06/2,820.42
  6. Step 6: Final answer
    x = 2,971.37

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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.