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Finding the Fourth Proportional to 2,095.67, 3,141.38 and 926.31

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Solution

The fourth proportional to 2,095.67, 3,141.38 and 926.31 is: 1,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.67 : 3,141.38 = 926.31 : x
  2. Step 2: Convert to fraction form
    2,095.67/3,141.38 = 926.31/x
  3. Step 3: Cross multiply
    2,095.67x = 3,141.38 × 926.31
  4. Step 4: Simplify right side
    2,095.67x = 2,909,896.97
  5. Step 5: Solve for x
    x = 2,909,896.97/2,095.67
  6. Step 6: Final answer
    x = 1,388.53

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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.