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Finding the Fourth Proportional to 2,859.44, 3,940.32 and 2,411.34

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Solution

The fourth proportional to 2,859.44, 3,940.32 and 2,411.34 is: 3,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.44 : 3,940.32 = 2,411.34 : x
  2. Step 2: Convert to fraction form
    2,859.44/3,940.32 = 2,411.34/x
  3. Step 3: Cross multiply
    2,859.44x = 3,940.32 × 2,411.34
  4. Step 4: Simplify right side
    2,859.44x = 9,501,451.23
  5. Step 5: Solve for x
    x = 9,501,451.23/2,859.44
  6. Step 6: Final answer
    x = 3,322.84

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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.