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Finding the Fourth Proportional to 1,723.28, 2,584.92 and 424.75

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Solution

The fourth proportional to 1,723.28, 2,584.92 and 424.75 is: 637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.28 : 2,584.92 = 424.75 : x
  2. Step 2: Convert to fraction form
    1,723.28/2,584.92 = 424.75/x
  3. Step 3: Cross multiply
    1,723.28x = 2,584.92 × 424.75
  4. Step 4: Simplify right side
    1,723.28x = 1,097,939.90
  5. Step 5: Solve for x
    x = 1,097,939.90/1,723.28
  6. Step 6: Final answer
    x = 637.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.