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Finding the Fourth Proportional to 1,821.33, 2,732.28 and 943.56

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Solution

The fourth proportional to 1,821.33, 2,732.28 and 943.56 is: 1,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.33 : 2,732.28 = 943.56 : x
  2. Step 2: Convert to fraction form
    1,821.33/2,732.28 = 943.56/x
  3. Step 3: Cross multiply
    1,821.33x = 2,732.28 × 943.56
  4. Step 4: Simplify right side
    1,821.33x = 2,578,070.12
  5. Step 5: Solve for x
    x = 2,578,070.12/1,821.33
  6. Step 6: Final answer
    x = 1,415.49

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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.