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Finding the Fourth Proportional to 1,654.28, 2,283 and 908.31

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Solution

The fourth proportional to 1,654.28, 2,283 and 908.31 is: 1,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.28 : 2,283 = 908.31 : x
  2. Step 2: Convert to fraction form
    1,654.28/2,283 = 908.31/x
  3. Step 3: Cross multiply
    1,654.28x = 2,283 × 908.31
  4. Step 4: Simplify right side
    1,654.28x = 2,073,671.73
  5. Step 5: Solve for x
    x = 2,073,671.73/1,654.28
  6. Step 6: Final answer
    x = 1,253.52

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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.