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Finding the Fourth Proportional to 1,979.22, 2,968.73 and 746.61

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Solution

The fourth proportional to 1,979.22, 2,968.73 and 746.61 is: 1,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.22 : 2,968.73 = 746.61 : x
  2. Step 2: Convert to fraction form
    1,979.22/2,968.73 = 746.61/x
  3. Step 3: Cross multiply
    1,979.22x = 2,968.73 × 746.61
  4. Step 4: Simplify right side
    1,979.22x = 2,216,483.51
  5. Step 5: Solve for x
    x = 2,216,483.51/1,979.22
  6. Step 6: Final answer
    x = 1,119.88

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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.