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Finding the Fourth Proportional to 2,127.91, 3,192.09 and 895.44

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Solution

The fourth proportional to 2,127.91, 3,192.09 and 895.44 is: 1,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.91 : 3,192.09 = 895.44 : x
  2. Step 2: Convert to fraction form
    2,127.91/3,192.09 = 895.44/x
  3. Step 3: Cross multiply
    2,127.91x = 3,192.09 × 895.44
  4. Step 4: Simplify right side
    2,127.91x = 2,858,325.07
  5. Step 5: Solve for x
    x = 2,858,325.07/2,127.91
  6. Step 6: Final answer
    x = 1,343.25

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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.