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Finding the Fourth Proportional to 1,825.54, 2,739.41 and 729.81

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Solution

The fourth proportional to 1,825.54, 2,739.41 and 729.81 is: 1,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.54 : 2,739.41 = 729.81 : x
  2. Step 2: Convert to fraction form
    1,825.54/2,739.41 = 729.81/x
  3. Step 3: Cross multiply
    1,825.54x = 2,739.41 × 729.81
  4. Step 4: Simplify right side
    1,825.54x = 1,999,247.90
  5. Step 5: Solve for x
    x = 1,999,247.90/1,825.54
  6. Step 6: Final answer
    x = 1,095.16

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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.