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Finding the Fourth Proportional to 1,825.24, 2,739.20 and 729.93

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Solution

The fourth proportional to 1,825.24, 2,739.20 and 729.93 is: 1,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.24 : 2,739.20 = 729.93 : x
  2. Step 2: Convert to fraction form
    1,825.24/2,739.20 = 729.93/x
  3. Step 3: Cross multiply
    1,825.24x = 2,739.20 × 729.93
  4. Step 4: Simplify right side
    1,825.24x = 1,999,424.26
  5. Step 5: Solve for x
    x = 1,999,424.26/1,825.24
  6. Step 6: Final answer
    x = 1,095.43

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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.