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Finding the Fourth Proportional to 2,652.96, 3,979.50 and 921.60

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Solution

The fourth proportional to 2,652.96, 3,979.50 and 921.60 is: 1,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.96 : 3,979.50 = 921.60 : x
  2. Step 2: Convert to fraction form
    2,652.96/3,979.50 = 921.60/x
  3. Step 3: Cross multiply
    2,652.96x = 3,979.50 × 921.60
  4. Step 4: Simplify right side
    2,652.96x = 3,667,507.20
  5. Step 5: Solve for x
    x = 3,667,507.20/2,652.96
  6. Step 6: Final answer
    x = 1,382.42

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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.