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Finding the Fourth Proportional to 2,857.80, 4,286.70 and 777.80

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Solution

The fourth proportional to 2,857.80, 4,286.70 and 777.80 is: 1,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.80 : 4,286.70 = 777.80 : x
  2. Step 2: Convert to fraction form
    2,857.80/4,286.70 = 777.80/x
  3. Step 3: Cross multiply
    2,857.80x = 4,286.70 × 777.80
  4. Step 4: Simplify right side
    2,857.80x = 3,334,195.26
  5. Step 5: Solve for x
    x = 3,334,195.26/2,857.80
  6. Step 6: Final answer
    x = 1,166.70

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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.