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Finding the Fourth Proportional to 1,728.76, 2,593.68 and 633.46

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Solution

The fourth proportional to 1,728.76, 2,593.68 and 633.46 is: 950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.76 : 2,593.68 = 633.46 : x
  2. Step 2: Convert to fraction form
    1,728.76/2,593.68 = 633.46/x
  3. Step 3: Cross multiply
    1,728.76x = 2,593.68 × 633.46
  4. Step 4: Simplify right side
    1,728.76x = 1,642,992.53
  5. Step 5: Solve for x
    x = 1,642,992.53/1,728.76
  6. Step 6: Final answer
    x = 950.39

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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.