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Finding the Fourth Proportional to 2,135.70, 3,189.11 and 1,847.70

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Solution

The fourth proportional to 2,135.70, 3,189.11 and 1,847.70 is: 2,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.70 : 3,189.11 = 1,847.70 : x
  2. Step 2: Convert to fraction form
    2,135.70/3,189.11 = 1,847.70/x
  3. Step 3: Cross multiply
    2,135.70x = 3,189.11 × 1,847.70
  4. Step 4: Simplify right side
    2,135.70x = 5,892,518.55
  5. Step 5: Solve for x
    x = 5,892,518.55/2,135.70
  6. Step 6: Final answer
    x = 2,759.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.