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Finding the Fourth Proportional to 2,113.44, 3,167.60 and 1,857.44

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Solution

The fourth proportional to 2,113.44, 3,167.60 and 1,857.44 is: 2,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.44 : 3,167.60 = 1,857.44 : x
  2. Step 2: Convert to fraction form
    2,113.44/3,167.60 = 1,857.44/x
  3. Step 3: Cross multiply
    2,113.44x = 3,167.60 × 1,857.44
  4. Step 4: Simplify right side
    2,113.44x = 5,883,626.94
  5. Step 5: Solve for x
    x = 5,883,626.94/2,113.44
  6. Step 6: Final answer
    x = 2,783.91

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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.