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Finding the Fourth Proportional to 2,423.94, 3,343.92 and 1,759.56

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Solution

The fourth proportional to 2,423.94, 3,343.92 and 1,759.56 is: 2,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.94 : 3,343.92 = 1,759.56 : x
  2. Step 2: Convert to fraction form
    2,423.94/3,343.92 = 1,759.56/x
  3. Step 3: Cross multiply
    2,423.94x = 3,343.92 × 1,759.56
  4. Step 4: Simplify right side
    2,423.94x = 5,883,827.88
  5. Step 5: Solve for x
    x = 5,883,827.88/2,423.94
  6. Step 6: Final answer
    x = 2,427.38

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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.