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Finding the Fourth Proportional to 3,605.94, 4,976.97 and 2,278.80

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Solution

The fourth proportional to 3,605.94, 4,976.97 and 2,278.80 is: 3,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.94 : 4,976.97 = 2,278.80 : x
  2. Step 2: Convert to fraction form
    3,605.94/4,976.97 = 2,278.80/x
  3. Step 3: Cross multiply
    3,605.94x = 4,976.97 × 2,278.80
  4. Step 4: Simplify right side
    3,605.94x = 11,341,519.24
  5. Step 5: Solve for x
    x = 11,341,519.24/3,605.94
  6. Step 6: Final answer
    x = 3,145.23

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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.