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Finding the Fourth Proportional to 2,746.63, 4,119.95 and 798.88

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Solution

The fourth proportional to 2,746.63, 4,119.95 and 798.88 is: 1,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.63 : 4,119.95 = 798.88 : x
  2. Step 2: Convert to fraction form
    2,746.63/4,119.95 = 798.88/x
  3. Step 3: Cross multiply
    2,746.63x = 4,119.95 × 798.88
  4. Step 4: Simplify right side
    2,746.63x = 3,291,321.06
  5. Step 5: Solve for x
    x = 3,291,321.06/2,746.63
  6. Step 6: Final answer
    x = 1,198.31

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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.