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Finding the Fourth Proportional to 1,801.31, 2,701.97 and 433.31

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Solution

The fourth proportional to 1,801.31, 2,701.97 and 433.31 is: 649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.31 : 2,701.97 = 433.31 : x
  2. Step 2: Convert to fraction form
    1,801.31/2,701.97 = 433.31/x
  3. Step 3: Cross multiply
    1,801.31x = 2,701.97 × 433.31
  4. Step 4: Simplify right side
    1,801.31x = 1,170,796.83
  5. Step 5: Solve for x
    x = 1,170,796.83/1,801.31
  6. Step 6: Final answer
    x = 649.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.