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Finding the Fourth Proportional to 1,827.25, 2,740.47 and 731.32

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Solution

The fourth proportional to 1,827.25, 2,740.47 and 731.32 is: 1,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.25 : 2,740.47 = 731.32 : x
  2. Step 2: Convert to fraction form
    1,827.25/2,740.47 = 731.32/x
  3. Step 3: Cross multiply
    1,827.25x = 2,740.47 × 731.32
  4. Step 4: Simplify right side
    1,827.25x = 2,004,150.93
  5. Step 5: Solve for x
    x = 2,004,150.93/1,827.25
  6. Step 6: Final answer
    x = 1,096.81

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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.