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Finding the Fourth Proportional to 1,825.24, 2,736.72 and 729.76

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Solution

The fourth proportional to 1,825.24, 2,736.72 and 729.76 is: 1,094.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.24 : 2,736.72 = 729.76 : x
  2. Step 2: Convert to fraction form
    1,825.24/2,736.72 = 729.76/x
  3. Step 3: Cross multiply
    1,825.24x = 2,736.72 × 729.76
  4. Step 4: Simplify right side
    1,825.24x = 1,997,148.79
  5. Step 5: Solve for x
    x = 1,997,148.79/1,825.24
  6. Step 6: Final answer
    x = 1,094.18

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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.