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Finding the Fourth Proportional to 2,101.75, 2,900.60 and 1,170.43

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Solution

The fourth proportional to 2,101.75, 2,900.60 and 1,170.43 is: 1,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.75 : 2,900.60 = 1,170.43 : x
  2. Step 2: Convert to fraction form
    2,101.75/2,900.60 = 1,170.43/x
  3. Step 3: Cross multiply
    2,101.75x = 2,900.60 × 1,170.43
  4. Step 4: Simplify right side
    2,101.75x = 3,394,949.26
  5. Step 5: Solve for x
    x = 3,394,949.26/2,101.75
  6. Step 6: Final answer
    x = 1,615.30

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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.