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Finding the Fourth Proportional to 1,722.71, 2,584.04 and 424.18

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Solution

The fourth proportional to 1,722.71, 2,584.04 and 424.18 is: 636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.71 : 2,584.04 = 424.18 : x
  2. Step 2: Convert to fraction form
    1,722.71/2,584.04 = 424.18/x
  3. Step 3: Cross multiply
    1,722.71x = 2,584.04 × 424.18
  4. Step 4: Simplify right side
    1,722.71x = 1,096,098.09
  5. Step 5: Solve for x
    x = 1,096,098.09/1,722.71
  6. Step 6: Final answer
    x = 636.26

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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.