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Finding the Fourth Proportional to 1,727.89, 2,592.10 and 617.22

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Solution

The fourth proportional to 1,727.89, 2,592.10 and 617.22 is: 925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.89 : 2,592.10 = 617.22 : x
  2. Step 2: Convert to fraction form
    1,727.89/2,592.10 = 617.22/x
  3. Step 3: Cross multiply
    1,727.89x = 2,592.10 × 617.22
  4. Step 4: Simplify right side
    1,727.89x = 1,599,900.90
  5. Step 5: Solve for x
    x = 1,599,900.90/1,727.89
  6. Step 6: Final answer
    x = 925.93

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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.