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Finding the Fourth Proportional to 2,071.82, 3,108.23 and 1,032.31

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Solution

The fourth proportional to 2,071.82, 3,108.23 and 1,032.31 is: 1,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.82 : 3,108.23 = 1,032.31 : x
  2. Step 2: Convert to fraction form
    2,071.82/3,108.23 = 1,032.31/x
  3. Step 3: Cross multiply
    2,071.82x = 3,108.23 × 1,032.31
  4. Step 4: Simplify right side
    2,071.82x = 3,208,656.91
  5. Step 5: Solve for x
    x = 3,208,656.91/2,071.82
  6. Step 6: Final answer
    x = 1,548.71

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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.