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Finding the Fourth Proportional to 2,127.31, 3,191.87 and 894.99

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Solution

The fourth proportional to 2,127.31, 3,191.87 and 894.99 is: 1,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.31 : 3,191.87 = 894.99 : x
  2. Step 2: Convert to fraction form
    2,127.31/3,191.87 = 894.99/x
  3. Step 3: Cross multiply
    2,127.31x = 3,191.87 × 894.99
  4. Step 4: Simplify right side
    2,127.31x = 2,856,687.26
  5. Step 5: Solve for x
    x = 2,856,687.26/2,127.31
  6. Step 6: Final answer
    x = 1,342.87

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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.