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Finding the Fourth Proportional to 2,735.46, 3,774.80 and 1,616.31

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Solution

The fourth proportional to 2,735.46, 3,774.80 and 1,616.31 is: 2,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.46 : 3,774.80 = 1,616.31 : x
  2. Step 2: Convert to fraction form
    2,735.46/3,774.80 = 1,616.31/x
  3. Step 3: Cross multiply
    2,735.46x = 3,774.80 × 1,616.31
  4. Step 4: Simplify right side
    2,735.46x = 6,101,251.03
  5. Step 5: Solve for x
    x = 6,101,251.03/2,735.46
  6. Step 6: Final answer
    x = 2,230.43

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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.