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Finding the Fourth Proportional to 1,631.43, 2,251.38 and 923.31

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Solution

The fourth proportional to 1,631.43, 2,251.38 and 923.31 is: 1,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.43 : 2,251.38 = 923.31 : x
  2. Step 2: Convert to fraction form
    1,631.43/2,251.38 = 923.31/x
  3. Step 3: Cross multiply
    1,631.43x = 2,251.38 × 923.31
  4. Step 4: Simplify right side
    1,631.43x = 2,078,710.41
  5. Step 5: Solve for x
    x = 2,078,710.41/1,631.43
  6. Step 6: Final answer
    x = 1,274.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.