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Finding the Fourth Proportional to 2,654.73, 3,979.38 and 1,009.02

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Solution

The fourth proportional to 2,654.73, 3,979.38 and 1,009.02 is: 1,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.73 : 3,979.38 = 1,009.02 : x
  2. Step 2: Convert to fraction form
    2,654.73/3,979.38 = 1,009.02/x
  3. Step 3: Cross multiply
    2,654.73x = 3,979.38 × 1,009.02
  4. Step 4: Simplify right side
    2,654.73x = 4,015,274.01
  5. Step 5: Solve for x
    x = 4,015,274.01/2,654.73
  6. Step 6: Final answer
    x = 1,512.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.