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Finding the Fourth Proportional to 1,632.14, 2,252.83 and 994.31

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Solution

The fourth proportional to 1,632.14, 2,252.83 and 994.31 is: 1,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.14 : 2,252.83 = 994.31 : x
  2. Step 2: Convert to fraction form
    1,632.14/2,252.83 = 994.31/x
  3. Step 3: Cross multiply
    1,632.14x = 2,252.83 × 994.31
  4. Step 4: Simplify right side
    1,632.14x = 2,240,008.91
  5. Step 5: Solve for x
    x = 2,240,008.91/1,632.14
  6. Step 6: Final answer
    x = 1,372.44

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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.