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Finding the Fourth Proportional to 2,342.44, 3,232.61 and 1,294.44

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Solution

The fourth proportional to 2,342.44, 3,232.61 and 1,294.44 is: 1,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.44 : 3,232.61 = 1,294.44 : x
  2. Step 2: Convert to fraction form
    2,342.44/3,232.61 = 1,294.44/x
  3. Step 3: Cross multiply
    2,342.44x = 3,232.61 × 1,294.44
  4. Step 4: Simplify right side
    2,342.44x = 4,184,419.69
  5. Step 5: Solve for x
    x = 4,184,419.69/2,342.44
  6. Step 6: Final answer
    x = 1,786.35

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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.