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Finding the Fourth Proportional to 2,179.31, 3,007.13 and 1,588.82

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Solution

The fourth proportional to 2,179.31, 3,007.13 and 1,588.82 is: 2,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.31 : 3,007.13 = 1,588.82 : x
  2. Step 2: Convert to fraction form
    2,179.31/3,007.13 = 1,588.82/x
  3. Step 3: Cross multiply
    2,179.31x = 3,007.13 × 1,588.82
  4. Step 4: Simplify right side
    2,179.31x = 4,777,765.31
  5. Step 5: Solve for x
    x = 4,777,765.31/2,179.31
  6. Step 6: Final answer
    x = 2,192.33

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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.