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Finding the Fourth Proportional to 2,847.98, 3,930.23 and 1,605.98

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Solution

The fourth proportional to 2,847.98, 3,930.23 and 1,605.98 is: 2,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.98 : 3,930.23 = 1,605.98 : x
  2. Step 2: Convert to fraction form
    2,847.98/3,930.23 = 1,605.98/x
  3. Step 3: Cross multiply
    2,847.98x = 3,930.23 × 1,605.98
  4. Step 4: Simplify right side
    2,847.98x = 6,311,870.78
  5. Step 5: Solve for x
    x = 6,311,870.78/2,847.98
  6. Step 6: Final answer
    x = 2,216.26

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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.