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Finding the Fourth Proportional to 2,720.75, 3,754.64 and 1,616.75

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Solution

The fourth proportional to 2,720.75, 3,754.64 and 1,616.75 is: 2,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.75 : 3,754.64 = 1,616.75 : x
  2. Step 2: Convert to fraction form
    2,720.75/3,754.64 = 1,616.75/x
  3. Step 3: Cross multiply
    2,720.75x = 3,754.64 × 1,616.75
  4. Step 4: Simplify right side
    2,720.75x = 6,070,306.14
  5. Step 5: Solve for x
    x = 6,070,306.14/2,720.75
  6. Step 6: Final answer
    x = 2,231.12

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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.