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Finding the Fourth Proportional to 2,860.44, 3,947.30 and 1,618.44

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Solution

The fourth proportional to 2,860.44, 3,947.30 and 1,618.44 is: 2,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.44 : 3,947.30 = 1,618.44 : x
  2. Step 2: Convert to fraction form
    2,860.44/3,947.30 = 1,618.44/x
  3. Step 3: Cross multiply
    2,860.44x = 3,947.30 × 1,618.44
  4. Step 4: Simplify right side
    2,860.44x = 6,388,468.21
  5. Step 5: Solve for x
    x = 6,388,468.21/2,860.44
  6. Step 6: Final answer
    x = 2,233.39

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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.