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Finding the Fourth Proportional to 2,940.87, 4,057.37 and 1,820.64

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Solution

The fourth proportional to 2,940.87, 4,057.37 and 1,820.64 is: 2,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.87 : 4,057.37 = 1,820.64 : x
  2. Step 2: Convert to fraction form
    2,940.87/4,057.37 = 1,820.64/x
  3. Step 3: Cross multiply
    2,940.87x = 4,057.37 × 1,820.64
  4. Step 4: Simplify right side
    2,940.87x = 7,387,001.01
  5. Step 5: Solve for x
    x = 7,387,001.01/2,940.87
  6. Step 6: Final answer
    x = 2,511.84

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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.