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Finding the Fourth Proportional to 2,746.65, 4,120.62 and 798.69

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Solution

The fourth proportional to 2,746.65, 4,120.62 and 798.69 is: 1,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.65 : 4,120.62 = 798.69 : x
  2. Step 2: Convert to fraction form
    2,746.65/4,120.62 = 798.69/x
  3. Step 3: Cross multiply
    2,746.65x = 4,120.62 × 798.69
  4. Step 4: Simplify right side
    2,746.65x = 3,291,097.99
  5. Step 5: Solve for x
    x = 3,291,097.99/2,746.65
  6. Step 6: Final answer
    x = 1,198.22

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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.