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Finding the Fourth Proportional to 1,720.94, 2,584.04 and 1,517.22

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Solution

The fourth proportional to 1,720.94, 2,584.04 and 1,517.22 is: 2,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.94 : 2,584.04 = 1,517.22 : x
  2. Step 2: Convert to fraction form
    1,720.94/2,584.04 = 1,517.22/x
  3. Step 3: Cross multiply
    1,720.94x = 2,584.04 × 1,517.22
  4. Step 4: Simplify right side
    1,720.94x = 3,920,549.58
  5. Step 5: Solve for x
    x = 3,920,549.58/1,720.94
  6. Step 6: Final answer
    x = 2,278.15

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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.