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Finding the Fourth Proportional to 1,537.62, 2,122.21 and 1,443.84

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Solution

The fourth proportional to 1,537.62, 2,122.21 and 1,443.84 is: 1,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.62 : 2,122.21 = 1,443.84 : x
  2. Step 2: Convert to fraction form
    1,537.62/2,122.21 = 1,443.84/x
  3. Step 3: Cross multiply
    1,537.62x = 2,122.21 × 1,443.84
  4. Step 4: Simplify right side
    1,537.62x = 3,064,131.69
  5. Step 5: Solve for x
    x = 3,064,131.69/1,537.62
  6. Step 6: Final answer
    x = 1,992.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.