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Finding the Fourth Proportional to 1,728.83, 2,592.23 and 1,181.67

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Solution

The fourth proportional to 1,728.83, 2,592.23 and 1,181.67 is: 1,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.83 : 2,592.23 = 1,181.67 : x
  2. Step 2: Convert to fraction form
    1,728.83/2,592.23 = 1,181.67/x
  3. Step 3: Cross multiply
    1,728.83x = 2,592.23 × 1,181.67
  4. Step 4: Simplify right side
    1,728.83x = 3,063,154.52
  5. Step 5: Solve for x
    x = 3,063,154.52/1,728.83
  6. Step 6: Final answer
    x = 1,771.81

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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.