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Finding the Fourth Proportional to 1,722.94, 2,584.43 and 424.41

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Solution

The fourth proportional to 1,722.94, 2,584.43 and 424.41 is: 636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.94 : 2,584.43 = 424.41 : x
  2. Step 2: Convert to fraction form
    1,722.94/2,584.43 = 424.41/x
  3. Step 3: Cross multiply
    1,722.94x = 2,584.43 × 424.41
  4. Step 4: Simplify right side
    1,722.94x = 1,096,848.91
  5. Step 5: Solve for x
    x = 1,096,848.91/1,722.94
  6. Step 6: Final answer
    x = 636.62

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