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Finding the Fourth Proportional to 2,797.80, 3,860.91 and 1,586.46

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Solution

The fourth proportional to 2,797.80, 3,860.91 and 1,586.46 is: 2,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.80 : 3,860.91 = 1,586.46 : x
  2. Step 2: Convert to fraction form
    2,797.80/3,860.91 = 1,586.46/x
  3. Step 3: Cross multiply
    2,797.80x = 3,860.91 × 1,586.46
  4. Step 4: Simplify right side
    2,797.80x = 6,125,179.28
  5. Step 5: Solve for x
    x = 6,125,179.28/2,797.80
  6. Step 6: Final answer
    x = 2,189.28

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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.