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Finding the Fourth Proportional to 1,901.81, 2,852.28 and 731.43

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Solution

The fourth proportional to 1,901.81, 2,852.28 and 731.43 is: 1,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.81 : 2,852.28 = 731.43 : x
  2. Step 2: Convert to fraction form
    1,901.81/2,852.28 = 731.43/x
  3. Step 3: Cross multiply
    1,901.81x = 2,852.28 × 731.43
  4. Step 4: Simplify right side
    1,901.81x = 2,086,243.16
  5. Step 5: Solve for x
    x = 2,086,243.16/1,901.81
  6. Step 6: Final answer
    x = 1,096.98

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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.