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Finding the Fourth Proportional to 1,901.72, 2,852.81 and 731.45

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Solution

The fourth proportional to 1,901.72, 2,852.81 and 731.45 is: 1,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.72 : 2,852.81 = 731.45 : x
  2. Step 2: Convert to fraction form
    1,901.72/2,852.81 = 731.45/x
  3. Step 3: Cross multiply
    1,901.72x = 2,852.81 × 731.45
  4. Step 4: Simplify right side
    1,901.72x = 2,086,696.84
  5. Step 5: Solve for x
    x = 2,086,696.84/1,901.72
  6. Step 6: Final answer
    x = 1,097.27

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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.