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Finding the Fourth Proportional to 1,825.13, 2,738.81 and 729.34

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Solution

The fourth proportional to 1,825.13, 2,738.81 and 729.34 is: 1,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.13 : 2,738.81 = 729.34 : x
  2. Step 2: Convert to fraction form
    1,825.13/2,738.81 = 729.34/x
  3. Step 3: Cross multiply
    1,825.13x = 2,738.81 × 729.34
  4. Step 4: Simplify right side
    1,825.13x = 1,997,518.66
  5. Step 5: Solve for x
    x = 1,997,518.66/1,825.13
  6. Step 6: Final answer
    x = 1,094.45

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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.