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Finding the Fourth Proportional to 1,979.12, 2,968.61 and 939.62

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Solution

The fourth proportional to 1,979.12, 2,968.61 and 939.62 is: 1,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.12 : 2,968.61 = 939.62 : x
  2. Step 2: Convert to fraction form
    1,979.12/2,968.61 = 939.62/x
  3. Step 3: Cross multiply
    1,979.12x = 2,968.61 × 939.62
  4. Step 4: Simplify right side
    1,979.12x = 2,789,345.79
  5. Step 5: Solve for x
    x = 2,789,345.79/1,979.12
  6. Step 6: Final answer
    x = 1,409.39

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1.5x scale

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.