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Finding the Fourth Proportional to 3,467.80, 4,786 and 1,976.25

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Solution

The fourth proportional to 3,467.80, 4,786 and 1,976.25 is: 2,727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.80 : 4,786 = 1,976.25 : x
  2. Step 2: Convert to fraction form
    3,467.80/4,786 = 1,976.25/x
  3. Step 3: Cross multiply
    3,467.80x = 4,786 × 1,976.25
  4. Step 4: Simplify right side
    3,467.80x = 9,458,332.50
  5. Step 5: Solve for x
    x = 9,458,332.50/3,467.80
  6. Step 6: Final answer
    x = 2,727.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.