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Finding the Fourth Proportional to 1,722.71, 2,584.08 and 627.08

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Solution

The fourth proportional to 1,722.71, 2,584.08 and 627.08 is: 940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.71 : 2,584.08 = 627.08 : x
  2. Step 2: Convert to fraction form
    1,722.71/2,584.08 = 627.08/x
  3. Step 3: Cross multiply
    1,722.71x = 2,584.08 × 627.08
  4. Step 4: Simplify right side
    1,722.71x = 1,620,424.89
  5. Step 5: Solve for x
    x = 1,620,424.89/1,722.71
  6. Step 6: Final answer
    x = 940.63

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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.